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Finding the Fourth Proportional to 24,472.60, 36,690.90 and 7,823.02

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Solution

The fourth proportional to 24,472.60, 36,690.90 and 7,823.02 is: 11,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.60 : 36,690.90 = 7,823.02 : x
  2. Step 2: Convert to fraction form
    24,472.60/36,690.90 = 7,823.02/x
  3. Step 3: Cross multiply
    24,472.60x = 36,690.90 × 7,823.02
  4. Step 4: Simplify right side
    24,472.60x = 287,033,644.52
  5. Step 5: Solve for x
    x = 287,033,644.52/24,472.60
  6. Step 6: Final answer
    x = 11,728.78

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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.