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Finding the Fourth Proportional to 16,543.44, 22,830.46 and 9,472.14

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Solution

The fourth proportional to 16,543.44, 22,830.46 and 9,472.14 is: 13,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.44 : 22,830.46 = 9,472.14 : x
  2. Step 2: Convert to fraction form
    16,543.44/22,830.46 = 9,472.14/x
  3. Step 3: Cross multiply
    16,543.44x = 22,830.46 × 9,472.14
  4. Step 4: Simplify right side
    16,543.44x = 216,253,289.70
  5. Step 5: Solve for x
    x = 216,253,289.70/16,543.44
  6. Step 6: Final answer
    x = 13,071.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.