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Finding the Fourth Proportional to 24,267.64, 36,401.47 and 7,629.12

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Solution

The fourth proportional to 24,267.64, 36,401.47 and 7,629.12 is: 11,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.64 : 36,401.47 = 7,629.12 : x
  2. Step 2: Convert to fraction form
    24,267.64/36,401.47 = 7,629.12/x
  3. Step 3: Cross multiply
    24,267.64x = 36,401.47 × 7,629.12
  4. Step 4: Simplify right side
    24,267.64x = 277,711,000.80
  5. Step 5: Solve for x
    x = 277,711,000.80/24,267.64
  6. Step 6: Final answer
    x = 11,443.68

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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.