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Finding the Fourth Proportional to 24,357.12, 36,535.68 and 7,717.20

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Solution

The fourth proportional to 24,357.12, 36,535.68 and 7,717.20 is: 11,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.12 : 36,535.68 = 7,717.20 : x
  2. Step 2: Convert to fraction form
    24,357.12/36,535.68 = 7,717.20/x
  3. Step 3: Cross multiply
    24,357.12x = 36,535.68 × 7,717.20
  4. Step 4: Simplify right side
    24,357.12x = 281,953,149.70
  5. Step 5: Solve for x
    x = 281,953,149.70/24,357.12
  6. Step 6: Final answer
    x = 11,575.80

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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.