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Finding the Fourth Proportional to 16,471.72, 22,731.15 and 8,918.21

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Solution

The fourth proportional to 16,471.72, 22,731.15 and 8,918.21 is: 12,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.72 : 22,731.15 = 8,918.21 : x
  2. Step 2: Convert to fraction form
    16,471.72/22,731.15 = 8,918.21/x
  3. Step 3: Cross multiply
    16,471.72x = 22,731.15 × 8,918.21
  4. Step 4: Simplify right side
    16,471.72x = 202,721,169.24
  5. Step 5: Solve for x
    x = 202,721,169.24/16,471.72
  6. Step 6: Final answer
    x = 12,307.23

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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.