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Finding the Fourth Proportional to 26,209.54, 39,319.98 and 8,678.74

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Solution

The fourth proportional to 26,209.54, 39,319.98 and 8,678.74 is: 13,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,209.54 : 39,319.98 = 8,678.74 : x
  2. Step 2: Convert to fraction form
    26,209.54/39,319.98 = 8,678.74/x
  3. Step 3: Cross multiply
    26,209.54x = 39,319.98 × 8,678.74
  4. Step 4: Simplify right side
    26,209.54x = 341,247,883.23
  5. Step 5: Solve for x
    x = 341,247,883.23/26,209.54
  6. Step 6: Final answer
    x = 13,019.99

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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.