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Finding the Fourth Proportional to 12,741.66, 17,584.59 and 7,438.18

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Solution

The fourth proportional to 12,741.66, 17,584.59 and 7,438.18 is: 10,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.66 : 17,584.59 = 7,438.18 : x
  2. Step 2: Convert to fraction form
    12,741.66/17,584.59 = 7,438.18/x
  3. Step 3: Cross multiply
    12,741.66x = 17,584.59 × 7,438.18
  4. Step 4: Simplify right side
    12,741.66x = 130,797,345.65
  5. Step 5: Solve for x
    x = 130,797,345.65/12,741.66
  6. Step 6: Final answer
    x = 10,265.33

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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.