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Finding the Fourth Proportional to 24,086.27, 36,133.32 and 7,442.42

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Solution

The fourth proportional to 24,086.27, 36,133.32 and 7,442.42 is: 11,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,086.27 : 36,133.32 = 7,442.42 : x
  2. Step 2: Convert to fraction form
    24,086.27/36,133.32 = 7,442.42/x
  3. Step 3: Cross multiply
    24,086.27x = 36,133.32 × 7,442.42
  4. Step 4: Simplify right side
    24,086.27x = 268,919,343.43
  5. Step 5: Solve for x
    x = 268,919,343.43/24,086.27
  6. Step 6: Final answer
    x = 11,164.84

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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.