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Finding the Fourth Proportional to 23,292.38, 34,944.03 and 7,710

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Solution

The fourth proportional to 23,292.38, 34,944.03 and 7,710 is: 11,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,292.38 : 34,944.03 = 7,710 : x
  2. Step 2: Convert to fraction form
    23,292.38/34,944.03 = 7,710/x
  3. Step 3: Cross multiply
    23,292.38x = 34,944.03 × 7,710
  4. Step 4: Simplify right side
    23,292.38x = 269,418,471.30
  5. Step 5: Solve for x
    x = 269,418,471.30/23,292.38
  6. Step 6: Final answer
    x = 11,566.81

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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.