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Finding the Fourth Proportional to 12,261.78, 18,475.29 and 10,118.52

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Solution

The fourth proportional to 12,261.78, 18,475.29 and 10,118.52 is: 15,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.78 : 18,475.29 = 10,118.52 : x
  2. Step 2: Convert to fraction form
    12,261.78/18,475.29 = 10,118.52/x
  3. Step 3: Cross multiply
    12,261.78x = 18,475.29 × 10,118.52
  4. Step 4: Simplify right side
    12,261.78x = 186,942,591.37
  5. Step 5: Solve for x
    x = 186,942,591.37/12,261.78
  6. Step 6: Final answer
    x = 15,245.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.