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Finding the Fourth Proportional to 27,565.80, 41,348.70 and 14,422.20

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Solution

The fourth proportional to 27,565.80, 41,348.70 and 14,422.20 is: 21,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.80 : 41,348.70 = 14,422.20 : x
  2. Step 2: Convert to fraction form
    27,565.80/41,348.70 = 14,422.20/x
  3. Step 3: Cross multiply
    27,565.80x = 41,348.70 × 14,422.20
  4. Step 4: Simplify right side
    27,565.80x = 596,339,221.14
  5. Step 5: Solve for x
    x = 596,339,221.14/27,565.80
  6. Step 6: Final answer
    x = 21,633.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.