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Finding the Fourth Proportional to 24,270.49, 36,411.99 and 13,174.30

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Solution

The fourth proportional to 24,270.49, 36,411.99 and 13,174.30 is: 19,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270.49 : 36,411.99 = 13,174.30 : x
  2. Step 2: Convert to fraction form
    24,270.49/36,411.99 = 13,174.30/x
  3. Step 3: Cross multiply
    24,270.49x = 36,411.99 × 13,174.30
  4. Step 4: Simplify right side
    24,270.49x = 479,702,479.86
  5. Step 5: Solve for x
    x = 479,702,479.86/24,270.49
  6. Step 6: Final answer
    x = 19,764.85

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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.