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Finding the Fourth Proportional to 11,442.16, 17,165.80 and 3,234.16

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Solution

The fourth proportional to 11,442.16, 17,165.80 and 3,234.16 is: 4,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.16 : 17,165.80 = 3,234.16 : x
  2. Step 2: Convert to fraction form
    11,442.16/17,165.80 = 3,234.16/x
  3. Step 3: Cross multiply
    11,442.16x = 17,165.80 × 3,234.16
  4. Step 4: Simplify right side
    11,442.16x = 55,516,943.73
  5. Step 5: Solve for x
    x = 55,516,943.73/11,442.16
  6. Step 6: Final answer
    x = 4,851.96

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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.