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Finding the Fourth Proportional to 21,344.67, 31,989.47 and 10,228.23

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Solution

The fourth proportional to 21,344.67, 31,989.47 and 10,228.23 is: 15,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.67 : 31,989.47 = 10,228.23 : x
  2. Step 2: Convert to fraction form
    21,344.67/31,989.47 = 10,228.23/x
  3. Step 3: Cross multiply
    21,344.67x = 31,989.47 × 10,228.23
  4. Step 4: Simplify right side
    21,344.67x = 327,195,605.60
  5. Step 5: Solve for x
    x = 327,195,605.60/21,344.67
  6. Step 6: Final answer
    x = 15,329.15

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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.