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Finding the Fourth Proportional to 25,702.38, 35,469.27 and 14,524.38

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Solution

The fourth proportional to 25,702.38, 35,469.27 and 14,524.38 is: 20,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.38 : 35,469.27 = 14,524.38 : x
  2. Step 2: Convert to fraction form
    25,702.38/35,469.27 = 14,524.38/x
  3. Step 3: Cross multiply
    25,702.38x = 35,469.27 × 14,524.38
  4. Step 4: Simplify right side
    25,702.38x = 515,169,155.80
  5. Step 5: Solve for x
    x = 515,169,155.80/25,702.38
  6. Step 6: Final answer
    x = 20,043.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.