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Finding the Fourth Proportional to 12,744.49, 17,587.52 and 7,438.28

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Solution

The fourth proportional to 12,744.49, 17,587.52 and 7,438.28 is: 10,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.49 : 17,587.52 = 7,438.28 : x
  2. Step 2: Convert to fraction form
    12,744.49/17,587.52 = 7,438.28/x
  3. Step 3: Cross multiply
    12,744.49x = 17,587.52 × 7,438.28
  4. Step 4: Simplify right side
    12,744.49x = 130,820,861.07
  5. Step 5: Solve for x
    x = 130,820,861.07/12,744.49
  6. Step 6: Final answer
    x = 10,264.89

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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.