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Finding the Fourth Proportional to 22,510.38, 33,766.02 and 6,928

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Solution

The fourth proportional to 22,510.38, 33,766.02 and 6,928 is: 10,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.38 : 33,766.02 = 6,928 : x
  2. Step 2: Convert to fraction form
    22,510.38/33,766.02 = 6,928/x
  3. Step 3: Cross multiply
    22,510.38x = 33,766.02 × 6,928
  4. Step 4: Simplify right side
    22,510.38x = 233,930,986.56
  5. Step 5: Solve for x
    x = 233,930,986.56/22,510.38
  6. Step 6: Final answer
    x = 10,392.14

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Why These Related Problems?

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