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Finding the Fourth Proportional to 23,293.38, 34,945.53 and 7,711

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Solution

The fourth proportional to 23,293.38, 34,945.53 and 7,711 is: 11,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.38 : 34,945.53 = 7,711 : x
  2. Step 2: Convert to fraction form
    23,293.38/34,945.53 = 7,711/x
  3. Step 3: Cross multiply
    23,293.38x = 34,945.53 × 7,711
  4. Step 4: Simplify right side
    23,293.38x = 269,464,981.83
  5. Step 5: Solve for x
    x = 269,464,981.83/23,293.38
  6. Step 6: Final answer
    x = 11,568.31

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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.