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Finding the Fourth Proportional to 17,862,774.78, 24,650,397.99 and 9,713,837.82

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Solution

The fourth proportional to 17,862,774.78, 24,650,397.99 and 9,713,837.82 is: 13,404,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862,774.78 : 24,650,397.99 = 9,713,837.82 : x
  2. Step 2: Convert to fraction form
    17,862,774.78/24,650,397.99 = 9,713,837.82/x
  3. Step 3: Cross multiply
    17,862,774.78x = 24,650,397.99 × 9,713,837.82
  4. Step 4: Simplify right side
    17,862,774.78x = 239,449,968,273,313.97
  5. Step 5: Solve for x
    x = 239,449,968,273,313.97/17,862,774.78
  6. Step 6: Final answer
    x = 13,404,970.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.