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Finding the Fourth Proportional to 24,465.97, 36,702.60 and 7,824.52

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Solution

The fourth proportional to 24,465.97, 36,702.60 and 7,824.52 is: 11,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.97 : 36,702.60 = 7,824.52 : x
  2. Step 2: Convert to fraction form
    24,465.97/36,702.60 = 7,824.52/x
  3. Step 3: Cross multiply
    24,465.97x = 36,702.60 × 7,824.52
  4. Step 4: Simplify right side
    24,465.97x = 287,180,227.75
  5. Step 5: Solve for x
    x = 287,180,227.75/24,465.97
  6. Step 6: Final answer
    x = 11,737.95

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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.