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Finding the Fourth Proportional to 16,265.21, 22,447.13 and 9,191.68

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Solution

The fourth proportional to 16,265.21, 22,447.13 and 9,191.68 is: 12,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.21 : 22,447.13 = 9,191.68 : x
  2. Step 2: Convert to fraction form
    16,265.21/22,447.13 = 9,191.68/x
  3. Step 3: Cross multiply
    16,265.21x = 22,447.13 × 9,191.68
  4. Step 4: Simplify right side
    16,265.21x = 206,326,733.80
  5. Step 5: Solve for x
    x = 206,326,733.80/16,265.21
  6. Step 6: Final answer
    x = 12,685.16

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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.