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Finding the Fourth Proportional to 22,850, 34,280.04 and 9,713.60

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Solution

The fourth proportional to 22,850, 34,280.04 and 9,713.60 is: 14,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,850 : 34,280.04 = 9,713.60 : x
  2. Step 2: Convert to fraction form
    22,850/34,280.04 = 9,713.60/x
  3. Step 3: Cross multiply
    22,850x = 34,280.04 × 9,713.60
  4. Step 4: Simplify right side
    22,850x = 332,982,596.54
  5. Step 5: Solve for x
    x = 332,982,596.54/22,850
  6. Step 6: Final answer
    x = 14,572.54

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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.