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Finding the Fourth Proportional to 13,696.32, 20,539.62 and 5,376

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Solution

The fourth proportional to 13,696.32, 20,539.62 and 5,376 is: 8,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.32 : 20,539.62 = 5,376 : x
  2. Step 2: Convert to fraction form
    13,696.32/20,539.62 = 5,376/x
  3. Step 3: Cross multiply
    13,696.32x = 20,539.62 × 5,376
  4. Step 4: Simplify right side
    13,696.32x = 110,420,997.12
  5. Step 5: Solve for x
    x = 110,420,997.12/13,696.32
  6. Step 6: Final answer
    x = 8,062.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.