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Finding the Fourth Proportional to 24,154, 36,234.24 and 10,306.24

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Solution

The fourth proportional to 24,154, 36,234.24 and 10,306.24 is: 15,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154 : 36,234.24 = 10,306.24 : x
  2. Step 2: Convert to fraction form
    24,154/36,234.24 = 10,306.24/x
  3. Step 3: Cross multiply
    24,154x = 36,234.24 × 10,306.24
  4. Step 4: Simplify right side
    24,154x = 373,438,773.66
  5. Step 5: Solve for x
    x = 373,438,773.66/24,154
  6. Step 6: Final answer
    x = 15,460.74

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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.