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Finding the Fourth Proportional to 22,823.39, 34,202.21 and 9,657.65

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Solution

The fourth proportional to 22,823.39, 34,202.21 and 9,657.65 is: 14,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.39 : 34,202.21 = 9,657.65 : x
  2. Step 2: Convert to fraction form
    22,823.39/34,202.21 = 9,657.65/x
  3. Step 3: Cross multiply
    22,823.39x = 34,202.21 × 9,657.65
  4. Step 4: Simplify right side
    22,823.39x = 330,312,754.11
  5. Step 5: Solve for x
    x = 330,312,754.11/22,823.39
  6. Step 6: Final answer
    x = 14,472.56

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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.