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Finding the Fourth Proportional to 26,208.18, 39,318.42 and 8,678

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Solution

The fourth proportional to 26,208.18, 39,318.42 and 8,678 is: 13,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,208.18 : 39,318.42 = 8,678 : x
  2. Step 2: Convert to fraction form
    26,208.18/39,318.42 = 8,678/x
  3. Step 3: Cross multiply
    26,208.18x = 39,318.42 × 8,678
  4. Step 4: Simplify right side
    26,208.18x = 341,205,248.76
  5. Step 5: Solve for x
    x = 341,205,248.76/26,208.18
  6. Step 6: Final answer
    x = 13,019.04

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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.