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Finding the Fourth Proportional to 19,916.28, 29,857.14 and 11,691

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Solution

The fourth proportional to 19,916.28, 29,857.14 and 11,691 is: 17,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,916.28 : 29,857.14 = 11,691 : x
  2. Step 2: Convert to fraction form
    19,916.28/29,857.14 = 11,691/x
  3. Step 3: Cross multiply
    19,916.28x = 29,857.14 × 11,691
  4. Step 4: Simplify right side
    19,916.28x = 349,059,823.74
  5. Step 5: Solve for x
    x = 349,059,823.74/19,916.28
  6. Step 6: Final answer
    x = 17,526.36

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