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Finding the Fourth Proportional to 13,885.68, 19,144.92 and 9,161.52

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Solution

The fourth proportional to 13,885.68, 19,144.92 and 9,161.52 is: 12,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.68 : 19,144.92 = 9,161.52 : x
  2. Step 2: Convert to fraction form
    13,885.68/19,144.92 = 9,161.52/x
  3. Step 3: Cross multiply
    13,885.68x = 19,144.92 × 9,161.52
  4. Step 4: Simplify right side
    13,885.68x = 175,396,567.48
  5. Step 5: Solve for x
    x = 175,396,567.48/13,885.68
  6. Step 6: Final answer
    x = 12,631.47

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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.