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Finding the Fourth Proportional to 26,551.68, 39,827.46 and 6,830.20

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Solution

The fourth proportional to 26,551.68, 39,827.46 and 6,830.20 is: 10,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,551.68 : 39,827.46 = 6,830.20 : x
  2. Step 2: Convert to fraction form
    26,551.68/39,827.46 = 6,830.20/x
  3. Step 3: Cross multiply
    26,551.68x = 39,827.46 × 6,830.20
  4. Step 4: Simplify right side
    26,551.68x = 272,029,517.29
  5. Step 5: Solve for x
    x = 272,029,517.29/26,551.68
  6. Step 6: Final answer
    x = 10,245.28

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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.