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Finding the Fourth Proportional to 21,833.26, 32,751.95 and 6,037.65

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Solution

The fourth proportional to 21,833.26, 32,751.95 and 6,037.65 is: 9,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.26 : 32,751.95 = 6,037.65 : x
  2. Step 2: Convert to fraction form
    21,833.26/32,751.95 = 6,037.65/x
  3. Step 3: Cross multiply
    21,833.26x = 32,751.95 × 6,037.65
  4. Step 4: Simplify right side
    21,833.26x = 197,744,780.73
  5. Step 5: Solve for x
    x = 197,744,780.73/21,833.26
  6. Step 6: Final answer
    x = 9,057.04

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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.