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Finding the Fourth Proportional to 14,626.80, 20,207.94 and 9,589.14

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Solution

The fourth proportional to 14,626.80, 20,207.94 and 9,589.14 is: 13,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626.80 : 20,207.94 = 9,589.14 : x
  2. Step 2: Convert to fraction form
    14,626.80/20,207.94 = 9,589.14/x
  3. Step 3: Cross multiply
    14,626.80x = 20,207.94 × 9,589.14
  4. Step 4: Simplify right side
    14,626.80x = 193,776,765.77
  5. Step 5: Solve for x
    x = 193,776,765.77/14,626.80
  6. Step 6: Final answer
    x = 13,248.06

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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.