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Finding the Fourth Proportional to 14,589.11, 20,133 and 8,215.80

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Solution

The fourth proportional to 14,589.11, 20,133 and 8,215.80 is: 11,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.11 : 20,133 = 8,215.80 : x
  2. Step 2: Convert to fraction form
    14,589.11/20,133 = 8,215.80/x
  3. Step 3: Cross multiply
    14,589.11x = 20,133 × 8,215.80
  4. Step 4: Simplify right side
    14,589.11x = 165,408,701.40
  5. Step 5: Solve for x
    x = 165,408,701.40/14,589.11
  6. Step 6: Final answer
    x = 11,337.82

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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.