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Finding the Fourth Proportional to 24,134.40, 36,202.68 and 12,470.40

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Solution

The fourth proportional to 24,134.40, 36,202.68 and 12,470.40 is: 18,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,134.40 : 36,202.68 = 12,470.40 : x
  2. Step 2: Convert to fraction form
    24,134.40/36,202.68 = 12,470.40/x
  3. Step 3: Cross multiply
    24,134.40x = 36,202.68 × 12,470.40
  4. Step 4: Simplify right side
    24,134.40x = 451,461,900.67
  5. Step 5: Solve for x
    x = 451,461,900.67/24,134.40
  6. Step 6: Final answer
    x = 18,706.16

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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.