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Finding the Fourth Proportional to 22,982.40, 34,443.76 and 10,322.80

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Solution

The fourth proportional to 22,982.40, 34,443.76 and 10,322.80 is: 15,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.40 : 34,443.76 = 10,322.80 : x
  2. Step 2: Convert to fraction form
    22,982.40/34,443.76 = 10,322.80/x
  3. Step 3: Cross multiply
    22,982.40x = 34,443.76 × 10,322.80
  4. Step 4: Simplify right side
    22,982.40x = 355,556,045.73
  5. Step 5: Solve for x
    x = 355,556,045.73/22,982.40
  6. Step 6: Final answer
    x = 15,470.80

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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.