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Finding the Fourth Proportional to 26,428.11, 39,642.98 and 7,707.70

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Solution

The fourth proportional to 26,428.11, 39,642.98 and 7,707.70 is: 11,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,428.11 : 39,642.98 = 7,707.70 : x
  2. Step 2: Convert to fraction form
    26,428.11/39,642.98 = 7,707.70/x
  3. Step 3: Cross multiply
    26,428.11x = 39,642.98 × 7,707.70
  4. Step 4: Simplify right side
    26,428.11x = 305,555,960.19
  5. Step 5: Solve for x
    x = 305,555,960.19/26,428.11
  6. Step 6: Final answer
    x = 11,561.78

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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.