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Finding the Fourth Proportional to 12,532.40, 17,294.28 and 7,226.48

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Solution

The fourth proportional to 12,532.40, 17,294.28 and 7,226.48 is: 9,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.40 : 17,294.28 = 7,226.48 : x
  2. Step 2: Convert to fraction form
    12,532.40/17,294.28 = 7,226.48/x
  3. Step 3: Cross multiply
    12,532.40x = 17,294.28 × 7,226.48
  4. Step 4: Simplify right side
    12,532.40x = 124,976,768.53
  5. Step 5: Solve for x
    x = 124,976,768.53/12,532.40
  6. Step 6: Final answer
    x = 9,972.29

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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.