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Finding the Fourth Proportional to 25,878.40, 38,628.75 and 22,204.24

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Solution

The fourth proportional to 25,878.40, 38,628.75 and 22,204.24 is: 33,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.40 : 38,628.75 = 22,204.24 : x
  2. Step 2: Convert to fraction form
    25,878.40/38,628.75 = 22,204.24/x
  3. Step 3: Cross multiply
    25,878.40x = 38,628.75 × 22,204.24
  4. Step 4: Simplify right side
    25,878.40x = 857,722,114.98
  5. Step 5: Solve for x
    x = 857,722,114.98/25,878.40
  6. Step 6: Final answer
    x = 33,144.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.