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Finding the Fourth Proportional to 12,686.55, 17,503.20 and 7,380.24

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Solution

The fourth proportional to 12,686.55, 17,503.20 and 7,380.24 is: 10,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.55 : 17,503.20 = 7,380.24 : x
  2. Step 2: Convert to fraction form
    12,686.55/17,503.20 = 7,380.24/x
  3. Step 3: Cross multiply
    12,686.55x = 17,503.20 × 7,380.24
  4. Step 4: Simplify right side
    12,686.55x = 129,177,816.77
  5. Step 5: Solve for x
    x = 129,177,816.77/12,686.55
  6. Step 6: Final answer
    x = 10,182.27

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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.