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Finding the Fourth Proportional to 26,580.48, 39,869.76 and 8,112

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Solution

The fourth proportional to 26,580.48, 39,869.76 and 8,112 is: 12,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580.48 : 39,869.76 = 8,112 : x
  2. Step 2: Convert to fraction form
    26,580.48/39,869.76 = 8,112/x
  3. Step 3: Cross multiply
    26,580.48x = 39,869.76 × 8,112
  4. Step 4: Simplify right side
    26,580.48x = 323,423,493.12
  5. Step 5: Solve for x
    x = 323,423,493.12/26,580.48
  6. Step 6: Final answer
    x = 12,167.71

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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.