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Finding the Fourth Proportional to 10,689.27, 16,042.12 and 10,140.49

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Solution

The fourth proportional to 10,689.27, 16,042.12 and 10,140.49 is: 15,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.27 : 16,042.12 = 10,140.49 : x
  2. Step 2: Convert to fraction form
    10,689.27/16,042.12 = 10,140.49/x
  3. Step 3: Cross multiply
    10,689.27x = 16,042.12 × 10,140.49
  4. Step 4: Simplify right side
    10,689.27x = 162,674,952.14
  5. Step 5: Solve for x
    x = 162,674,952.14/10,689.27
  6. Step 6: Final answer
    x = 15,218.53

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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.