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Finding the Fourth Proportional to 25,834.38, 38,726.80 and 8,292.22

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Solution

The fourth proportional to 25,834.38, 38,726.80 and 8,292.22 is: 12,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834.38 : 38,726.80 = 8,292.22 : x
  2. Step 2: Convert to fraction form
    25,834.38/38,726.80 = 8,292.22/x
  3. Step 3: Cross multiply
    25,834.38x = 38,726.80 × 8,292.22
  4. Step 4: Simplify right side
    25,834.38x = 321,131,145.50
  5. Step 5: Solve for x
    x = 321,131,145.50/25,834.38
  6. Step 6: Final answer
    x = 12,430.38

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1.5x scale

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.