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Finding the Fourth Proportional to 24,545.64, 36,824.40 and 7,907.25

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Solution

The fourth proportional to 24,545.64, 36,824.40 and 7,907.25 is: 11,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,545.64 : 36,824.40 = 7,907.25 : x
  2. Step 2: Convert to fraction form
    24,545.64/36,824.40 = 7,907.25/x
  3. Step 3: Cross multiply
    24,545.64x = 36,824.40 × 7,907.25
  4. Step 4: Simplify right side
    24,545.64x = 291,179,736.90
  5. Step 5: Solve for x
    x = 291,179,736.90/24,545.64
  6. Step 6: Final answer
    x = 11,862.79

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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.