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Finding the Fourth Proportional to 21,881.26, 32,824.22 and 6,086.33

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Solution

The fourth proportional to 21,881.26, 32,824.22 and 6,086.33 is: 9,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.26 : 32,824.22 = 6,086.33 : x
  2. Step 2: Convert to fraction form
    21,881.26/32,824.22 = 6,086.33/x
  3. Step 3: Cross multiply
    21,881.26x = 32,824.22 × 6,086.33
  4. Step 4: Simplify right side
    21,881.26x = 199,779,034.91
  5. Step 5: Solve for x
    x = 199,779,034.91/21,881.26
  6. Step 6: Final answer
    x = 9,130.15

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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.