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Finding the Fourth Proportional to 21,877.26, 32,820.22 and 8,026.38

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Solution

The fourth proportional to 21,877.26, 32,820.22 and 8,026.38 is: 12,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.26 : 32,820.22 = 8,026.38 : x
  2. Step 2: Convert to fraction form
    21,877.26/32,820.22 = 8,026.38/x
  3. Step 3: Cross multiply
    21,877.26x = 32,820.22 × 8,026.38
  4. Step 4: Simplify right side
    21,877.26x = 263,427,557.40
  5. Step 5: Solve for x
    x = 263,427,557.40/21,877.26
  6. Step 6: Final answer
    x = 12,041.16

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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.