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Finding the Fourth Proportional to 24,289.38, 36,435.53 and 7,649.95

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Solution

The fourth proportional to 24,289.38, 36,435.53 and 7,649.95 is: 11,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.38 : 36,435.53 = 7,649.95 : x
  2. Step 2: Convert to fraction form
    24,289.38/36,435.53 = 7,649.95/x
  3. Step 3: Cross multiply
    24,289.38x = 36,435.53 × 7,649.95
  4. Step 4: Simplify right side
    24,289.38x = 278,729,982.72
  5. Step 5: Solve for x
    x = 278,729,982.72/24,289.38
  6. Step 6: Final answer
    x = 11,475.38

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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.