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Finding the Fourth Proportional to 17,913, 24,720.36 and 9,955.56

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Solution

The fourth proportional to 17,913, 24,720.36 and 9,955.56 is: 13,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913 : 24,720.36 = 9,955.56 : x
  2. Step 2: Convert to fraction form
    17,913/24,720.36 = 9,955.56/x
  3. Step 3: Cross multiply
    17,913x = 24,720.36 × 9,955.56
  4. Step 4: Simplify right side
    17,913x = 246,105,027.20
  5. Step 5: Solve for x
    x = 246,105,027.20/17,913
  6. Step 6: Final answer
    x = 13,738.91

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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.