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Finding the Fourth Proportional to 14,891.57, 20,549.43 and 8,177.16

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Solution

The fourth proportional to 14,891.57, 20,549.43 and 8,177.16 is: 11,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.57 : 20,549.43 = 8,177.16 : x
  2. Step 2: Convert to fraction form
    14,891.57/20,549.43 = 8,177.16/x
  3. Step 3: Cross multiply
    14,891.57x = 20,549.43 × 8,177.16
  4. Step 4: Simplify right side
    14,891.57x = 168,035,977.02
  5. Step 5: Solve for x
    x = 168,035,977.02/14,891.57
  6. Step 6: Final answer
    x = 11,283.97

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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.