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Finding the Fourth Proportional to 15,102.98, 20,843.43 and 8,817.38

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Solution

The fourth proportional to 15,102.98, 20,843.43 and 8,817.38 is: 12,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.98 : 20,843.43 = 8,817.38 : x
  2. Step 2: Convert to fraction form
    15,102.98/20,843.43 = 8,817.38/x
  3. Step 3: Cross multiply
    15,102.98x = 20,843.43 × 8,817.38
  4. Step 4: Simplify right side
    15,102.98x = 183,784,442.81
  5. Step 5: Solve for x
    x = 183,784,442.81/15,102.98
  6. Step 6: Final answer
    x = 12,168.75

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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.