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Finding the Fourth Proportional to 16,428.71, 22,663.71 and 10,761

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Solution

The fourth proportional to 16,428.71, 22,663.71 and 10,761 is: 14,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.71 : 22,663.71 = 10,761 : x
  2. Step 2: Convert to fraction form
    16,428.71/22,663.71 = 10,761/x
  3. Step 3: Cross multiply
    16,428.71x = 22,663.71 × 10,761
  4. Step 4: Simplify right side
    16,428.71x = 243,884,183.31
  5. Step 5: Solve for x
    x = 243,884,183.31/16,428.71
  6. Step 6: Final answer
    x = 14,845.00

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