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Finding the Fourth Proportional to 15,381, 23,073.60 and 5,518.20

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Solution

The fourth proportional to 15,381, 23,073.60 and 5,518.20 is: 8,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381 : 23,073.60 = 5,518.20 : x
  2. Step 2: Convert to fraction form
    15,381/23,073.60 = 5,518.20/x
  3. Step 3: Cross multiply
    15,381x = 23,073.60 × 5,518.20
  4. Step 4: Simplify right side
    15,381x = 127,324,739.52
  5. Step 5: Solve for x
    x = 127,324,739.52/15,381
  6. Step 6: Final answer
    x = 8,278.05

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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.