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Finding the Fourth Proportional to 24,023.10, 36,034.65 and 8,442.30

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Solution

The fourth proportional to 24,023.10, 36,034.65 and 8,442.30 is: 12,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.10 : 36,034.65 = 8,442.30 : x
  2. Step 2: Convert to fraction form
    24,023.10/36,034.65 = 8,442.30/x
  3. Step 3: Cross multiply
    24,023.10x = 36,034.65 × 8,442.30
  4. Step 4: Simplify right side
    24,023.10x = 304,215,325.70
  5. Step 5: Solve for x
    x = 304,215,325.70/24,023.10
  6. Step 6: Final answer
    x = 12,663.45

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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.