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Finding the Fourth Proportional to 12,742.08, 17,585.18 and 7,438.61

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Solution

The fourth proportional to 12,742.08, 17,585.18 and 7,438.61 is: 10,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.08 : 17,585.18 = 7,438.61 : x
  2. Step 2: Convert to fraction form
    12,742.08/17,585.18 = 7,438.61/x
  3. Step 3: Cross multiply
    12,742.08x = 17,585.18 × 7,438.61
  4. Step 4: Simplify right side
    12,742.08x = 130,809,170.68
  5. Step 5: Solve for x
    x = 130,809,170.68/12,742.08
  6. Step 6: Final answer
    x = 10,265.92

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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.