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Finding the Fourth Proportional to 12,805.20, 19,207.80 and 11,164.95

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Solution

The fourth proportional to 12,805.20, 19,207.80 and 11,164.95 is: 16,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.20 : 19,207.80 = 11,164.95 : x
  2. Step 2: Convert to fraction form
    12,805.20/19,207.80 = 11,164.95/x
  3. Step 3: Cross multiply
    12,805.20x = 19,207.80 × 11,164.95
  4. Step 4: Simplify right side
    12,805.20x = 214,454,126.61
  5. Step 5: Solve for x
    x = 214,454,126.61/12,805.20
  6. Step 6: Final answer
    x = 16,747.43

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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.