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Finding the Fourth Proportional to 19,770.50, 27,284.10 and 11,387

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Solution

The fourth proportional to 19,770.50, 27,284.10 and 11,387 is: 15,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.50 : 27,284.10 = 11,387 : x
  2. Step 2: Convert to fraction form
    19,770.50/27,284.10 = 11,387/x
  3. Step 3: Cross multiply
    19,770.50x = 27,284.10 × 11,387
  4. Step 4: Simplify right side
    19,770.50x = 310,684,046.70
  5. Step 5: Solve for x
    x = 310,684,046.70/19,770.50
  6. Step 6: Final answer
    x = 15,714.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.