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Finding the Fourth Proportional to 24,302.25, 36,453.38 and 6,772.55

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Solution

The fourth proportional to 24,302.25, 36,453.38 and 6,772.55 is: 10,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.25 : 36,453.38 = 6,772.55 : x
  2. Step 2: Convert to fraction form
    24,302.25/36,453.38 = 6,772.55/x
  3. Step 3: Cross multiply
    24,302.25x = 36,453.38 × 6,772.55
  4. Step 4: Simplify right side
    24,302.25x = 246,882,122.59
  5. Step 5: Solve for x
    x = 246,882,122.59/24,302.25
  6. Step 6: Final answer
    x = 10,158.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.