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Finding the Fourth Proportional to 16,473, 24,717.96 and 9,083.28

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Solution

The fourth proportional to 16,473, 24,717.96 and 9,083.28 is: 13,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473 : 24,717.96 = 9,083.28 : x
  2. Step 2: Convert to fraction form
    16,473/24,717.96 = 9,083.28/x
  3. Step 3: Cross multiply
    16,473x = 24,717.96 × 9,083.28
  4. Step 4: Simplify right side
    16,473x = 224,520,151.71
  5. Step 5: Solve for x
    x = 224,520,151.71/16,473
  6. Step 6: Final answer
    x = 13,629.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.