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Finding the Fourth Proportional to 14,562.20, 20,081.97 and 9,524.84

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Solution

The fourth proportional to 14,562.20, 20,081.97 and 9,524.84 is: 13,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.20 : 20,081.97 = 9,524.84 : x
  2. Step 2: Convert to fraction form
    14,562.20/20,081.97 = 9,524.84/x
  3. Step 3: Cross multiply
    14,562.20x = 20,081.97 × 9,524.84
  4. Step 4: Simplify right side
    14,562.20x = 191,277,551.13
  5. Step 5: Solve for x
    x = 191,277,551.13/14,562.20
  6. Step 6: Final answer
    x = 13,135.21

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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.