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Finding the Fourth Proportional to 16,209.46, 24,314.18 and 5,123.93

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Solution

The fourth proportional to 16,209.46, 24,314.18 and 5,123.93 is: 7,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.46 : 24,314.18 = 5,123.93 : x
  2. Step 2: Convert to fraction form
    16,209.46/24,314.18 = 5,123.93/x
  3. Step 3: Cross multiply
    16,209.46x = 24,314.18 × 5,123.93
  4. Step 4: Simplify right side
    16,209.46x = 124,584,229.92
  5. Step 5: Solve for x
    x = 124,584,229.92/16,209.46
  6. Step 6: Final answer
    x = 7,685.90

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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.