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Finding the Fourth Proportional to 14,842.97, 20,462.19 and 9,174.52

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Solution

The fourth proportional to 14,842.97, 20,462.19 and 9,174.52 is: 12,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.97 : 20,462.19 = 9,174.52 : x
  2. Step 2: Convert to fraction form
    14,842.97/20,462.19 = 9,174.52/x
  3. Step 3: Cross multiply
    14,842.97x = 20,462.19 × 9,174.52
  4. Step 4: Simplify right side
    14,842.97x = 187,730,771.40
  5. Step 5: Solve for x
    x = 187,730,771.40/14,842.97
  6. Step 6: Final answer
    x = 12,647.79

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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.