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Finding the Fourth Proportional to 17,496, 26,227.49 and 6,972.53

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Solution

The fourth proportional to 17,496, 26,227.49 and 6,972.53 is: 10,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496 : 26,227.49 = 6,972.53 : x
  2. Step 2: Convert to fraction form
    17,496/26,227.49 = 6,972.53/x
  3. Step 3: Cross multiply
    17,496x = 26,227.49 × 6,972.53
  4. Step 4: Simplify right side
    17,496x = 182,871,794.85
  5. Step 5: Solve for x
    x = 182,871,794.85/17,496
  6. Step 6: Final answer
    x = 10,452.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.