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Finding the Fourth Proportional to 27,109.80, 40,660.95 and 8,402.70

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Solution

The fourth proportional to 27,109.80, 40,660.95 and 8,402.70 is: 12,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.80 : 40,660.95 = 8,402.70 : x
  2. Step 2: Convert to fraction form
    27,109.80/40,660.95 = 8,402.70/x
  3. Step 3: Cross multiply
    27,109.80x = 40,660.95 × 8,402.70
  4. Step 4: Simplify right side
    27,109.80x = 341,661,764.57
  5. Step 5: Solve for x
    x = 341,661,764.57/27,109.80
  6. Step 6: Final answer
    x = 12,602.89

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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.