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Finding the Fourth Proportional to 10,686.92, 16,036.14 and 10,299.08

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Solution

The fourth proportional to 10,686.92, 16,036.14 and 10,299.08 is: 15,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.92 : 16,036.14 = 10,299.08 : x
  2. Step 2: Convert to fraction form
    10,686.92/16,036.14 = 10,299.08/x
  3. Step 3: Cross multiply
    10,686.92x = 16,036.14 × 10,299.08
  4. Step 4: Simplify right side
    10,686.92x = 165,157,488.75
  5. Step 5: Solve for x
    x = 165,157,488.75/10,686.92
  6. Step 6: Final answer
    x = 15,454.17

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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.