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Finding the Fourth Proportional to 24,166.28, 36,246 and 7,522.40

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Solution

The fourth proportional to 24,166.28, 36,246 and 7,522.40 is: 11,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,166.28 : 36,246 = 7,522.40 : x
  2. Step 2: Convert to fraction form
    24,166.28/36,246 = 7,522.40/x
  3. Step 3: Cross multiply
    24,166.28x = 36,246 × 7,522.40
  4. Step 4: Simplify right side
    24,166.28x = 272,656,910.40
  5. Step 5: Solve for x
    x = 272,656,910.40/24,166.28
  6. Step 6: Final answer
    x = 11,282.54

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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.