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Finding the Fourth Proportional to 15,828.56, 21,845.04 and 9,114.44

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Solution

The fourth proportional to 15,828.56, 21,845.04 and 9,114.44 is: 12,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.56 : 21,845.04 = 9,114.44 : x
  2. Step 2: Convert to fraction form
    15,828.56/21,845.04 = 9,114.44/x
  3. Step 3: Cross multiply
    15,828.56x = 21,845.04 × 9,114.44
  4. Step 4: Simplify right side
    15,828.56x = 199,105,306.38
  5. Step 5: Solve for x
    x = 199,105,306.38/15,828.56
  6. Step 6: Final answer
    x = 12,578.86

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Why These Related Problems?

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