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Finding the Fourth Proportional to 24,293.72, 36,442.68 and 6,763.76

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Solution

The fourth proportional to 24,293.72, 36,442.68 and 6,763.76 is: 10,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,293.72 : 36,442.68 = 6,763.76 : x
  2. Step 2: Convert to fraction form
    24,293.72/36,442.68 = 6,763.76/x
  3. Step 3: Cross multiply
    24,293.72x = 36,442.68 × 6,763.76
  4. Step 4: Simplify right side
    24,293.72x = 246,489,541.28
  5. Step 5: Solve for x
    x = 246,489,541.28/24,293.72
  6. Step 6: Final answer
    x = 10,146.22

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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.