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Finding the Fourth Proportional to 26,501.86, 39,752.75 and 6,780.42

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Solution

The fourth proportional to 26,501.86, 39,752.75 and 6,780.42 is: 10,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.86 : 39,752.75 = 6,780.42 : x
  2. Step 2: Convert to fraction form
    26,501.86/39,752.75 = 6,780.42/x
  3. Step 3: Cross multiply
    26,501.86x = 39,752.75 × 6,780.42
  4. Step 4: Simplify right side
    26,501.86x = 269,540,358.11
  5. Step 5: Solve for x
    x = 269,540,358.11/26,501.86
  6. Step 6: Final answer
    x = 10,170.62

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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.