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Finding the Fourth Proportional to 14,520.25, 20,034.86 and 8,549.74

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Solution

The fourth proportional to 14,520.25, 20,034.86 and 8,549.74 is: 11,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.25 : 20,034.86 = 8,549.74 : x
  2. Step 2: Convert to fraction form
    14,520.25/20,034.86 = 8,549.74/x
  3. Step 3: Cross multiply
    14,520.25x = 20,034.86 × 8,549.74
  4. Step 4: Simplify right side
    14,520.25x = 171,292,843.94
  5. Step 5: Solve for x
    x = 171,292,843.94/14,520.25
  6. Step 6: Final answer
    x = 11,796.82

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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.