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Finding the Fourth Proportional to 18,577.26, 27,870.48 and 9,221.67

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Solution

The fourth proportional to 18,577.26, 27,870.48 and 9,221.67 is: 13,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.26 : 27,870.48 = 9,221.67 : x
  2. Step 2: Convert to fraction form
    18,577.26/27,870.48 = 9,221.67/x
  3. Step 3: Cross multiply
    18,577.26x = 27,870.48 × 9,221.67
  4. Step 4: Simplify right side
    18,577.26x = 257,012,369.30
  5. Step 5: Solve for x
    x = 257,012,369.30/18,577.26
  6. Step 6: Final answer
    x = 13,834.78

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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.