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Finding the Fourth Proportional to 24,293.28, 36,445.04 and 7,876

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Solution

The fourth proportional to 24,293.28, 36,445.04 and 7,876 is: 11,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,293.28 : 36,445.04 = 7,876 : x
  2. Step 2: Convert to fraction form
    24,293.28/36,445.04 = 7,876/x
  3. Step 3: Cross multiply
    24,293.28x = 36,445.04 × 7,876
  4. Step 4: Simplify right side
    24,293.28x = 287,041,135.04
  5. Step 5: Solve for x
    x = 287,041,135.04/24,293.28
  6. Step 6: Final answer
    x = 11,815.66

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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.