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Finding the Fourth Proportional to 22,984.40, 34,472.28 and 7,400

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Solution

The fourth proportional to 22,984.40, 34,472.28 and 7,400 is: 11,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.40 : 34,472.28 = 7,400 : x
  2. Step 2: Convert to fraction form
    22,984.40/34,472.28 = 7,400/x
  3. Step 3: Cross multiply
    22,984.40x = 34,472.28 × 7,400
  4. Step 4: Simplify right side
    22,984.40x = 255,094,872
  5. Step 5: Solve for x
    x = 255,094,872/22,984.40
  6. Step 6: Final answer
    x = 11,098.61

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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.