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Finding the Fourth Proportional to 24,322.40, 36,469.20 and 12,658.40

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Solution

The fourth proportional to 24,322.40, 36,469.20 and 12,658.40 is: 18,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.40 : 36,469.20 = 12,658.40 : x
  2. Step 2: Convert to fraction form
    24,322.40/36,469.20 = 12,658.40/x
  3. Step 3: Cross multiply
    24,322.40x = 36,469.20 × 12,658.40
  4. Step 4: Simplify right side
    24,322.40x = 461,641,721.28
  5. Step 5: Solve for x
    x = 461,641,721.28/24,322.40
  6. Step 6: Final answer
    x = 18,980.11

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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.