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Finding the Fourth Proportional to 15,068, 20,794.08 and 8,444

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Solution

The fourth proportional to 15,068, 20,794.08 and 8,444 is: 11,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,068 : 20,794.08 = 8,444 : x
  2. Step 2: Convert to fraction form
    15,068/20,794.08 = 8,444/x
  3. Step 3: Cross multiply
    15,068x = 20,794.08 × 8,444
  4. Step 4: Simplify right side
    15,068x = 175,585,211.52
  5. Step 5: Solve for x
    x = 175,585,211.52/15,068
  6. Step 6: Final answer
    x = 11,652.85

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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.