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Finding the Fourth Proportional to 24,281.33, 36,419.49 and 7,640.87

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Solution

The fourth proportional to 24,281.33, 36,419.49 and 7,640.87 is: 11,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281.33 : 36,419.49 = 7,640.87 : x
  2. Step 2: Convert to fraction form
    24,281.33/36,419.49 = 7,640.87/x
  3. Step 3: Cross multiply
    24,281.33x = 36,419.49 × 7,640.87
  4. Step 4: Simplify right side
    24,281.33x = 278,276,406.46
  5. Step 5: Solve for x
    x = 278,276,406.46/24,281.33
  6. Step 6: Final answer
    x = 11,460.51

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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.