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Finding the Fourth Proportional to 24,086.80, 36,116.74 and 7,442.12

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Solution

The fourth proportional to 24,086.80, 36,116.74 and 7,442.12 is: 11,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,086.80 : 36,116.74 = 7,442.12 : x
  2. Step 2: Convert to fraction form
    24,086.80/36,116.74 = 7,442.12/x
  3. Step 3: Cross multiply
    24,086.80x = 36,116.74 × 7,442.12
  4. Step 4: Simplify right side
    24,086.80x = 268,785,113.09
  5. Step 5: Solve for x
    x = 268,785,113.09/24,086.80
  6. Step 6: Final answer
    x = 11,159.02

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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.