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Finding the Fourth Proportional to 22,902.80, 34,340.16 and 9,747.68

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Solution

The fourth proportional to 22,902.80, 34,340.16 and 9,747.68 is: 14,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.80 : 34,340.16 = 9,747.68 : x
  2. Step 2: Convert to fraction form
    22,902.80/34,340.16 = 9,747.68/x
  3. Step 3: Cross multiply
    22,902.80x = 34,340.16 × 9,747.68
  4. Step 4: Simplify right side
    22,902.80x = 334,736,890.83
  5. Step 5: Solve for x
    x = 334,736,890.83/22,902.80
  6. Step 6: Final answer
    x = 14,615.54

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1.5x scale

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.