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Finding the Fourth Proportional to 19,524.92, 29,291.70 and 9,131

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Solution

The fourth proportional to 19,524.92, 29,291.70 and 9,131 is: 13,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.92 : 29,291.70 = 9,131 : x
  2. Step 2: Convert to fraction form
    19,524.92/29,291.70 = 9,131/x
  3. Step 3: Cross multiply
    19,524.92x = 29,291.70 × 9,131
  4. Step 4: Simplify right side
    19,524.92x = 267,462,512.70
  5. Step 5: Solve for x
    x = 267,462,512.70/19,524.92
  6. Step 6: Final answer
    x = 13,698.52

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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.