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Finding the Fourth Proportional to 12,686.76, 17,500.50 and 7,380.96

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Solution

The fourth proportional to 12,686.76, 17,500.50 and 7,380.96 is: 10,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.76 : 17,500.50 = 7,380.96 : x
  2. Step 2: Convert to fraction form
    12,686.76/17,500.50 = 7,380.96/x
  3. Step 3: Cross multiply
    12,686.76x = 17,500.50 × 7,380.96
  4. Step 4: Simplify right side
    12,686.76x = 129,170,490.48
  5. Step 5: Solve for x
    x = 129,170,490.48/12,686.76
  6. Step 6: Final answer
    x = 10,181.52

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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.