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Finding the Fourth Proportional to 13,548.80, 18,687.30 and 9,565.76

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Solution

The fourth proportional to 13,548.80, 18,687.30 and 9,565.76 is: 13,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.80 : 18,687.30 = 9,565.76 : x
  2. Step 2: Convert to fraction form
    13,548.80/18,687.30 = 9,565.76/x
  3. Step 3: Cross multiply
    13,548.80x = 18,687.30 × 9,565.76
  4. Step 4: Simplify right side
    13,548.80x = 178,758,226.85
  5. Step 5: Solve for x
    x = 178,758,226.85/13,548.80
  6. Step 6: Final answer
    x = 13,193.66

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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.