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Finding the Fourth Proportional to 21,886.83, 32,833.49 and 8,034.75

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Solution

The fourth proportional to 21,886.83, 32,833.49 and 8,034.75 is: 12,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.83 : 32,833.49 = 8,034.75 : x
  2. Step 2: Convert to fraction form
    21,886.83/32,833.49 = 8,034.75/x
  3. Step 3: Cross multiply
    21,886.83x = 32,833.49 × 8,034.75
  4. Step 4: Simplify right side
    21,886.83x = 263,808,843.60
  5. Step 5: Solve for x
    x = 263,808,843.60/21,886.83
  6. Step 6: Final answer
    x = 12,053.31

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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.