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Finding the Fourth Proportional to 13,494.61, 20,221.40 and 8,549.25

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Solution

The fourth proportional to 13,494.61, 20,221.40 and 8,549.25 is: 12,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.61 : 20,221.40 = 8,549.25 : x
  2. Step 2: Convert to fraction form
    13,494.61/20,221.40 = 8,549.25/x
  3. Step 3: Cross multiply
    13,494.61x = 20,221.40 × 8,549.25
  4. Step 4: Simplify right side
    13,494.61x = 172,877,825.32
  5. Step 5: Solve for x
    x = 172,877,825.32/13,494.61
  6. Step 6: Final answer
    x = 12,810.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.