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Finding the Fourth Proportional to 22,323.80, 33,484.84 and 6,741

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Solution

The fourth proportional to 22,323.80, 33,484.84 and 6,741 is: 10,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.80 : 33,484.84 = 6,741 : x
  2. Step 2: Convert to fraction form
    22,323.80/33,484.84 = 6,741/x
  3. Step 3: Cross multiply
    22,323.80x = 33,484.84 × 6,741
  4. Step 4: Simplify right side
    22,323.80x = 225,721,306.44
  5. Step 5: Solve for x
    x = 225,721,306.44/22,323.80
  6. Step 6: Final answer
    x = 10,111.24

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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.