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Finding the Fourth Proportional to 23,298.13, 34,942.87 and 7,713.73

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Solution

The fourth proportional to 23,298.13, 34,942.87 and 7,713.73 is: 11,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298.13 : 34,942.87 = 7,713.73 : x
  2. Step 2: Convert to fraction form
    23,298.13/34,942.87 = 7,713.73/x
  3. Step 3: Cross multiply
    23,298.13x = 34,942.87 × 7,713.73
  4. Step 4: Simplify right side
    23,298.13x = 269,539,864.61
  5. Step 5: Solve for x
    x = 269,539,864.61/23,298.13
  6. Step 6: Final answer
    x = 11,569.16

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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.