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Finding the Fourth Proportional to 16,146.40, 24,223.50 and 5,614.90

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Solution

The fourth proportional to 16,146.40, 24,223.50 and 5,614.90 is: 8,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.40 : 24,223.50 = 5,614.90 : x
  2. Step 2: Convert to fraction form
    16,146.40/24,223.50 = 5,614.90/x
  3. Step 3: Cross multiply
    16,146.40x = 24,223.50 × 5,614.90
  4. Step 4: Simplify right side
    16,146.40x = 136,012,530.15
  5. Step 5: Solve for x
    x = 136,012,530.15/16,146.40
  6. Step 6: Final answer
    x = 8,423.71

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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.