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Finding the Fourth Proportional to 10,709.41, 16,029.17 and 9,686.38

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Solution

The fourth proportional to 10,709.41, 16,029.17 and 9,686.38 is: 14,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.41 : 16,029.17 = 9,686.38 : x
  2. Step 2: Convert to fraction form
    10,709.41/16,029.17 = 9,686.38/x
  3. Step 3: Cross multiply
    10,709.41x = 16,029.17 × 9,686.38
  4. Step 4: Simplify right side
    10,709.41x = 155,264,583.27
  5. Step 5: Solve for x
    x = 155,264,583.27/10,709.41
  6. Step 6: Final answer
    x = 14,497.96

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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.