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Finding the Fourth Proportional to 22,505.95, 33,769.35 and 9,854.04

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Solution

The fourth proportional to 22,505.95, 33,769.35 and 9,854.04 is: 14,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.95 : 33,769.35 = 9,854.04 : x
  2. Step 2: Convert to fraction form
    22,505.95/33,769.35 = 9,854.04/x
  3. Step 3: Cross multiply
    22,505.95x = 33,769.35 × 9,854.04
  4. Step 4: Simplify right side
    22,505.95x = 332,764,525.67
  5. Step 5: Solve for x
    x = 332,764,525.67/22,505.95
  6. Step 6: Final answer
    x = 14,785.62

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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.