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Finding the Fourth Proportional to 24,289.26, 36,436.50 and 7,649.80

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Solution

The fourth proportional to 24,289.26, 36,436.50 and 7,649.80 is: 11,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.26 : 36,436.50 = 7,649.80 : x
  2. Step 2: Convert to fraction form
    24,289.26/36,436.50 = 7,649.80/x
  3. Step 3: Cross multiply
    24,289.26x = 36,436.50 × 7,649.80
  4. Step 4: Simplify right side
    24,289.26x = 278,731,937.70
  5. Step 5: Solve for x
    x = 278,731,937.70/24,289.26
  6. Step 6: Final answer
    x = 11,475.52

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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.