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Finding the Fourth Proportional to 12,380.46, 17,084.24 and 7,345.14

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Solution

The fourth proportional to 12,380.46, 17,084.24 and 7,345.14 is: 10,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.46 : 17,084.24 = 7,345.14 : x
  2. Step 2: Convert to fraction form
    12,380.46/17,084.24 = 7,345.14/x
  3. Step 3: Cross multiply
    12,380.46x = 17,084.24 × 7,345.14
  4. Step 4: Simplify right side
    12,380.46x = 125,486,134.59
  5. Step 5: Solve for x
    x = 125,486,134.59/12,380.46
  6. Step 6: Final answer
    x = 10,135.82

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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.