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Finding the Fourth Proportional to 25,902.14, 38,853.20 and 17,135.01

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Solution

The fourth proportional to 25,902.14, 38,853.20 and 17,135.01 is: 25,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.14 : 38,853.20 = 17,135.01 : x
  2. Step 2: Convert to fraction form
    25,902.14/38,853.20 = 17,135.01/x
  3. Step 3: Cross multiply
    25,902.14x = 38,853.20 × 17,135.01
  4. Step 4: Simplify right side
    25,902.14x = 665,749,776.27
  5. Step 5: Solve for x
    x = 665,749,776.27/25,902.14
  6. Step 6: Final answer
    x = 25,702.50

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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.