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Finding the Fourth Proportional to 21,844.10, 32,759.81 and 8,514.13

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Solution

The fourth proportional to 21,844.10, 32,759.81 and 8,514.13 is: 12,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844.10 : 32,759.81 = 8,514.13 : x
  2. Step 2: Convert to fraction form
    21,844.10/32,759.81 = 8,514.13/x
  3. Step 3: Cross multiply
    21,844.10x = 32,759.81 × 8,514.13
  4. Step 4: Simplify right side
    21,844.10x = 278,921,117.32
  5. Step 5: Solve for x
    x = 278,921,117.32/21,844.10
  6. Step 6: Final answer
    x = 12,768.72

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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.