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Finding the Fourth Proportional to 25,940.70, 38,896.65 and 10,340.70

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Solution

The fourth proportional to 25,940.70, 38,896.65 and 10,340.70 is: 15,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,940.70 : 38,896.65 = 10,340.70 : x
  2. Step 2: Convert to fraction form
    25,940.70/38,896.65 = 10,340.70/x
  3. Step 3: Cross multiply
    25,940.70x = 38,896.65 × 10,340.70
  4. Step 4: Simplify right side
    25,940.70x = 402,218,588.66
  5. Step 5: Solve for x
    x = 402,218,588.66/25,940.70
  6. Step 6: Final answer
    x = 15,505.31

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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.