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Finding the Fourth Proportional to 25,900.80, 38,822.40 and 11,107.20

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Solution

The fourth proportional to 25,900.80, 38,822.40 and 11,107.20 is: 16,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.80 : 38,822.40 = 11,107.20 : x
  2. Step 2: Convert to fraction form
    25,900.80/38,822.40 = 11,107.20/x
  3. Step 3: Cross multiply
    25,900.80x = 38,822.40 × 11,107.20
  4. Step 4: Simplify right side
    25,900.80x = 431,208,161.28
  5. Step 5: Solve for x
    x = 431,208,161.28/25,900.80
  6. Step 6: Final answer
    x = 16,648.45

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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.