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Finding the Fourth Proportional to 23,471.93, 35,215.77 and 7,677.70

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Solution

The fourth proportional to 23,471.93, 35,215.77 and 7,677.70 is: 11,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.93 : 35,215.77 = 7,677.70 : x
  2. Step 2: Convert to fraction form
    23,471.93/35,215.77 = 7,677.70/x
  3. Step 3: Cross multiply
    23,471.93x = 35,215.77 × 7,677.70
  4. Step 4: Simplify right side
    23,471.93x = 270,376,117.33
  5. Step 5: Solve for x
    x = 270,376,117.33/23,471.93
  6. Step 6: Final answer
    x = 11,519.13

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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.