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Finding the Fourth Proportional to 14,517.74, 20,035.14 and 8,549.66

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Solution

The fourth proportional to 14,517.74, 20,035.14 and 8,549.66 is: 11,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.74 : 20,035.14 = 8,549.66 : x
  2. Step 2: Convert to fraction form
    14,517.74/20,035.14 = 8,549.66/x
  3. Step 3: Cross multiply
    14,517.74x = 20,035.14 × 8,549.66
  4. Step 4: Simplify right side
    14,517.74x = 171,293,635.05
  5. Step 5: Solve for x
    x = 171,293,635.05/14,517.74
  6. Step 6: Final answer
    x = 11,798.92

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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.