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Finding the Fourth Proportional to 12,594.32, 17,380.62 and 7,217.76

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Solution

The fourth proportional to 12,594.32, 17,380.62 and 7,217.76 is: 9,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.32 : 17,380.62 = 7,217.76 : x
  2. Step 2: Convert to fraction form
    12,594.32/17,380.62 = 7,217.76/x
  3. Step 3: Cross multiply
    12,594.32x = 17,380.62 × 7,217.76
  4. Step 4: Simplify right side
    12,594.32x = 125,449,143.81
  5. Step 5: Solve for x
    x = 125,449,143.81/12,594.32
  6. Step 6: Final answer
    x = 9,960.77

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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.