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Finding the Fourth Proportional to 26,383.68, 39,574.56 and 7,915.20

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Solution

The fourth proportional to 26,383.68, 39,574.56 and 7,915.20 is: 11,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.68 : 39,574.56 = 7,915.20 : x
  2. Step 2: Convert to fraction form
    26,383.68/39,574.56 = 7,915.20/x
  3. Step 3: Cross multiply
    26,383.68x = 39,574.56 × 7,915.20
  4. Step 4: Simplify right side
    26,383.68x = 313,240,557.31
  5. Step 5: Solve for x
    x = 313,240,557.31/26,383.68
  6. Step 6: Final answer
    x = 11,872.51

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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.