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Finding the Fourth Proportional to 12,744.36, 17,587.34 and 7,438.14

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Solution

The fourth proportional to 12,744.36, 17,587.34 and 7,438.14 is: 10,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.36 : 17,587.34 = 7,438.14 : x
  2. Step 2: Convert to fraction form
    12,744.36/17,587.34 = 7,438.14/x
  3. Step 3: Cross multiply
    12,744.36x = 17,587.34 × 7,438.14
  4. Step 4: Simplify right side
    12,744.36x = 130,817,059.96
  5. Step 5: Solve for x
    x = 130,817,059.96/12,744.36
  6. Step 6: Final answer
    x = 10,264.70

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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.