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Finding the Fourth Proportional to 26,707.86, 40,062.78 and 7,988.13

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Solution

The fourth proportional to 26,707.86, 40,062.78 and 7,988.13 is: 11,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,707.86 : 40,062.78 = 7,988.13 : x
  2. Step 2: Convert to fraction form
    26,707.86/40,062.78 = 7,988.13/x
  3. Step 3: Cross multiply
    26,707.86x = 40,062.78 × 7,988.13
  4. Step 4: Simplify right side
    26,707.86x = 320,026,694.80
  5. Step 5: Solve for x
    x = 320,026,694.80/26,707.86
  6. Step 6: Final answer
    x = 11,982.49

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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.