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Finding the Fourth Proportional to 10,606.66, 15,877.14 and 9,032.02

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Solution

The fourth proportional to 10,606.66, 15,877.14 and 9,032.02 is: 13,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.66 : 15,877.14 = 9,032.02 : x
  2. Step 2: Convert to fraction form
    10,606.66/15,877.14 = 9,032.02/x
  3. Step 3: Cross multiply
    10,606.66x = 15,877.14 × 9,032.02
  4. Step 4: Simplify right side
    10,606.66x = 143,402,646.02
  5. Step 5: Solve for x
    x = 143,402,646.02/10,606.66
  6. Step 6: Final answer
    x = 13,520.06

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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.