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Finding the Fourth Proportional to 16,102.40, 24,153.60 and 5,715.20

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Solution

The fourth proportional to 16,102.40, 24,153.60 and 5,715.20 is: 8,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.40 : 24,153.60 = 5,715.20 : x
  2. Step 2: Convert to fraction form
    16,102.40/24,153.60 = 5,715.20/x
  3. Step 3: Cross multiply
    16,102.40x = 24,153.60 × 5,715.20
  4. Step 4: Simplify right side
    16,102.40x = 138,042,654.72
  5. Step 5: Solve for x
    x = 138,042,654.72/16,102.40
  6. Step 6: Final answer
    x = 8,572.80

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1.5x scale

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.