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Finding the Fourth Proportional to 13,677.97, 20,521.95 and 5,782.54

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Solution

The fourth proportional to 13,677.97, 20,521.95 and 5,782.54 is: 8,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.97 : 20,521.95 = 5,782.54 : x
  2. Step 2: Convert to fraction form
    13,677.97/20,521.95 = 5,782.54/x
  3. Step 3: Cross multiply
    13,677.97x = 20,521.95 × 5,782.54
  4. Step 4: Simplify right side
    13,677.97x = 118,668,996.75
  5. Step 5: Solve for x
    x = 118,668,996.75/13,677.97
  6. Step 6: Final answer
    x = 8,675.92

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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.