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Finding the Fourth Proportional to 25,397.60, 38,031.60 and 20,213.60

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Solution

The fourth proportional to 25,397.60, 38,031.60 and 20,213.60 is: 30,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397.60 : 38,031.60 = 20,213.60 : x
  2. Step 2: Convert to fraction form
    25,397.60/38,031.60 = 20,213.60/x
  3. Step 3: Cross multiply
    25,397.60x = 38,031.60 × 20,213.60
  4. Step 4: Simplify right side
    25,397.60x = 768,755,549.76
  5. Step 5: Solve for x
    x = 768,755,549.76/25,397.60
  6. Step 6: Final answer
    x = 30,268.83

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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.