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Finding the Fourth Proportional to 24,207.60, 36,282.60 and 10,167.60

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Solution

The fourth proportional to 24,207.60, 36,282.60 and 10,167.60 is: 15,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.60 : 36,282.60 = 10,167.60 : x
  2. Step 2: Convert to fraction form
    24,207.60/36,282.60 = 10,167.60/x
  3. Step 3: Cross multiply
    24,207.60x = 36,282.60 × 10,167.60
  4. Step 4: Simplify right side
    24,207.60x = 368,906,963.76
  5. Step 5: Solve for x
    x = 368,906,963.76/24,207.60
  6. Step 6: Final answer
    x = 15,239.30

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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.