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Finding the Fourth Proportional to 12,743.32, 17,587.84 and 7,438.12

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Solution

The fourth proportional to 12,743.32, 17,587.84 and 7,438.12 is: 10,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.32 : 17,587.84 = 7,438.12 : x
  2. Step 2: Convert to fraction form
    12,743.32/17,587.84 = 7,438.12/x
  3. Step 3: Cross multiply
    12,743.32x = 17,587.84 × 7,438.12
  4. Step 4: Simplify right side
    12,743.32x = 130,820,464.46
  5. Step 5: Solve for x
    x = 130,820,464.46/12,743.32
  6. Step 6: Final answer
    x = 10,265.81

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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.