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Finding the Fourth Proportional to 23,295, 34,947.96 and 7,712.64

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Solution

The fourth proportional to 23,295, 34,947.96 and 7,712.64 is: 11,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,295 : 34,947.96 = 7,712.64 : x
  2. Step 2: Convert to fraction form
    23,295/34,947.96 = 7,712.64/x
  3. Step 3: Cross multiply
    23,295x = 34,947.96 × 7,712.64
  4. Step 4: Simplify right side
    23,295x = 269,541,034.21
  5. Step 5: Solve for x
    x = 269,541,034.21/23,295
  6. Step 6: Final answer
    x = 11,570.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.