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Finding the Fourth Proportional to 25,503.70, 38,218.20 and 22,871.20

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Solution

The fourth proportional to 25,503.70, 38,218.20 and 22,871.20 is: 34,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,503.70 : 38,218.20 = 22,871.20 : x
  2. Step 2: Convert to fraction form
    25,503.70/38,218.20 = 22,871.20/x
  3. Step 3: Cross multiply
    25,503.70x = 38,218.20 × 22,871.20
  4. Step 4: Simplify right side
    25,503.70x = 874,096,095.84
  5. Step 5: Solve for x
    x = 874,096,095.84/25,503.70
  6. Step 6: Final answer
    x = 34,273.31

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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.