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Finding the Fourth Proportional to 21,228.65, 31,843.28 and 8,081.74

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Solution

The fourth proportional to 21,228.65, 31,843.28 and 8,081.74 is: 12,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.65 : 31,843.28 = 8,081.74 : x
  2. Step 2: Convert to fraction form
    21,228.65/31,843.28 = 8,081.74/x
  3. Step 3: Cross multiply
    21,228.65x = 31,843.28 × 8,081.74
  4. Step 4: Simplify right side
    21,228.65x = 257,349,124.26
  5. Step 5: Solve for x
    x = 257,349,124.26/21,228.65
  6. Step 6: Final answer
    x = 12,122.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.