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Finding the Fourth Proportional to 22,523.50, 33,779.17 and 8,482.56

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Solution

The fourth proportional to 22,523.50, 33,779.17 and 8,482.56 is: 12,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.50 : 33,779.17 = 8,482.56 : x
  2. Step 2: Convert to fraction form
    22,523.50/33,779.17 = 8,482.56/x
  3. Step 3: Cross multiply
    22,523.50x = 33,779.17 × 8,482.56
  4. Step 4: Simplify right side
    22,523.50x = 286,533,836.28
  5. Step 5: Solve for x
    x = 286,533,836.28/22,523.50
  6. Step 6: Final answer
    x = 12,721.55

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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.