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Finding the Fourth Proportional to 15,438.70, 21,305.38 and 8,365.12

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Solution

The fourth proportional to 15,438.70, 21,305.38 and 8,365.12 is: 11,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438.70 : 21,305.38 = 8,365.12 : x
  2. Step 2: Convert to fraction form
    15,438.70/21,305.38 = 8,365.12/x
  3. Step 3: Cross multiply
    15,438.70x = 21,305.38 × 8,365.12
  4. Step 4: Simplify right side
    15,438.70x = 178,222,121.70
  5. Step 5: Solve for x
    x = 178,222,121.70/15,438.70
  6. Step 6: Final answer
    x = 11,543.85

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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.