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Finding the Fourth Proportional to 16,494.26, 24,732.14 and 7,128.43

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Solution

The fourth proportional to 16,494.26, 24,732.14 and 7,128.43 is: 10,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.26 : 24,732.14 = 7,128.43 : x
  2. Step 2: Convert to fraction form
    16,494.26/24,732.14 = 7,128.43/x
  3. Step 3: Cross multiply
    16,494.26x = 24,732.14 × 7,128.43
  4. Step 4: Simplify right side
    16,494.26x = 176,301,328.74
  5. Step 5: Solve for x
    x = 176,301,328.74/16,494.26
  6. Step 6: Final answer
    x = 10,688.65

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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.