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Finding the Fourth Proportional to 23,886.73, 35,780.82 and 13,996

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Solution

The fourth proportional to 23,886.73, 35,780.82 and 13,996 is: 20,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.73 : 35,780.82 = 13,996 : x
  2. Step 2: Convert to fraction form
    23,886.73/35,780.82 = 13,996/x
  3. Step 3: Cross multiply
    23,886.73x = 35,780.82 × 13,996
  4. Step 4: Simplify right side
    23,886.73x = 500,788,356.72
  5. Step 5: Solve for x
    x = 500,788,356.72/23,886.73
  6. Step 6: Final answer
    x = 20,965.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.