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Finding the Fourth Proportional to 24,267.70, 36,404.24 and 10,225.14

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Solution

The fourth proportional to 24,267.70, 36,404.24 and 10,225.14 is: 15,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.70 : 36,404.24 = 10,225.14 : x
  2. Step 2: Convert to fraction form
    24,267.70/36,404.24 = 10,225.14/x
  3. Step 3: Cross multiply
    24,267.70x = 36,404.24 × 10,225.14
  4. Step 4: Simplify right side
    24,267.70x = 372,238,262.95
  5. Step 5: Solve for x
    x = 372,238,262.95/24,267.70
  6. Step 6: Final answer
    x = 15,338.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.