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Finding the Fourth Proportional to 15,126.72, 20,874.24 and 8,412

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Solution

The fourth proportional to 15,126.72, 20,874.24 and 8,412 is: 11,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,126.72 : 20,874.24 = 8,412 : x
  2. Step 2: Convert to fraction form
    15,126.72/20,874.24 = 8,412/x
  3. Step 3: Cross multiply
    15,126.72x = 20,874.24 × 8,412
  4. Step 4: Simplify right side
    15,126.72x = 175,594,106.88
  5. Step 5: Solve for x
    x = 175,594,106.88/15,126.72
  6. Step 6: Final answer
    x = 11,608.21

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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.