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Finding the Fourth Proportional to 24,520.38, 36,777.06 and 7,878.28

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Solution

The fourth proportional to 24,520.38, 36,777.06 and 7,878.28 is: 11,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520.38 : 36,777.06 = 7,878.28 : x
  2. Step 2: Convert to fraction form
    24,520.38/36,777.06 = 7,878.28/x
  3. Step 3: Cross multiply
    24,520.38x = 36,777.06 × 7,878.28
  4. Step 4: Simplify right side
    24,520.38x = 289,739,976.26
  5. Step 5: Solve for x
    x = 289,739,976.26/24,520.38
  6. Step 6: Final answer
    x = 11,816.29

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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.