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Finding the Fourth Proportional to 26,592.32, 39,884.16 and 8,120

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Solution

The fourth proportional to 26,592.32, 39,884.16 and 8,120 is: 12,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,592.32 : 39,884.16 = 8,120 : x
  2. Step 2: Convert to fraction form
    26,592.32/39,884.16 = 8,120/x
  3. Step 3: Cross multiply
    26,592.32x = 39,884.16 × 8,120
  4. Step 4: Simplify right side
    26,592.32x = 323,859,379.20
  5. Step 5: Solve for x
    x = 323,859,379.20/26,592.32
  6. Step 6: Final answer
    x = 12,178.68

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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.