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Finding the Fourth Proportional to 24,291.20, 36,388.80 and 21,404.80

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Solution

The fourth proportional to 24,291.20, 36,388.80 and 21,404.80 is: 32,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.20 : 36,388.80 = 21,404.80 : x
  2. Step 2: Convert to fraction form
    24,291.20/36,388.80 = 21,404.80/x
  3. Step 3: Cross multiply
    24,291.20x = 36,388.80 × 21,404.80
  4. Step 4: Simplify right side
    24,291.20x = 778,894,986.24
  5. Step 5: Solve for x
    x = 778,894,986.24/24,291.20
  6. Step 6: Final answer
    x = 32,064.90

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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.