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Finding the Fourth Proportional to 27,442.67, 37,870.92 and 14,867.42

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Solution

The fourth proportional to 27,442.67, 37,870.92 and 14,867.42 is: 20,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.67 : 37,870.92 = 14,867.42 : x
  2. Step 2: Convert to fraction form
    27,442.67/37,870.92 = 14,867.42/x
  3. Step 3: Cross multiply
    27,442.67x = 37,870.92 × 14,867.42
  4. Step 4: Simplify right side
    27,442.67x = 563,042,609.73
  5. Step 5: Solve for x
    x = 563,042,609.73/27,442.67
  6. Step 6: Final answer
    x = 20,517.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.