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Finding the Fourth Proportional to 24,517.60, 36,777.71 and 7,876.34

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Solution

The fourth proportional to 24,517.60, 36,777.71 and 7,876.34 is: 11,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.60 : 36,777.71 = 7,876.34 : x
  2. Step 2: Convert to fraction form
    24,517.60/36,777.71 = 7,876.34/x
  3. Step 3: Cross multiply
    24,517.60x = 36,777.71 × 7,876.34
  4. Step 4: Simplify right side
    24,517.60x = 289,673,722.10
  5. Step 5: Solve for x
    x = 289,673,722.10/24,517.60
  6. Step 6: Final answer
    x = 11,814.93

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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.