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Finding the Fourth Proportional to 21,827.80, 32,747.74 and 8,689.39

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Solution

The fourth proportional to 21,827.80, 32,747.74 and 8,689.39 is: 13,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.80 : 32,747.74 = 8,689.39 : x
  2. Step 2: Convert to fraction form
    21,827.80/32,747.74 = 8,689.39/x
  3. Step 3: Cross multiply
    21,827.80x = 32,747.74 × 8,689.39
  4. Step 4: Simplify right side
    21,827.80x = 284,557,841.03
  5. Step 5: Solve for x
    x = 284,557,841.03/21,827.80
  6. Step 6: Final answer
    x = 13,036.49

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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.