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Finding the Fourth Proportional to 20,818.64, 28,729.95 and 11,387

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Solution

The fourth proportional to 20,818.64, 28,729.95 and 11,387 is: 15,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.64 : 28,729.95 = 11,387 : x
  2. Step 2: Convert to fraction form
    20,818.64/28,729.95 = 11,387/x
  3. Step 3: Cross multiply
    20,818.64x = 28,729.95 × 11,387
  4. Step 4: Simplify right side
    20,818.64x = 327,147,940.65
  5. Step 5: Solve for x
    x = 327,147,940.65/20,818.64
  6. Step 6: Final answer
    x = 15,714.18

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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.