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Finding the Fourth Proportional to 12,123.45, 18,178.34 and 4,719.44

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Solution

The fourth proportional to 12,123.45, 18,178.34 and 4,719.44 is: 7,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.45 : 18,178.34 = 4,719.44 : x
  2. Step 2: Convert to fraction form
    12,123.45/18,178.34 = 4,719.44/x
  3. Step 3: Cross multiply
    12,123.45x = 18,178.34 × 4,719.44
  4. Step 4: Simplify right side
    12,123.45x = 85,791,606.78
  5. Step 5: Solve for x
    x = 85,791,606.78/12,123.45
  6. Step 6: Final answer
    x = 7,076.50

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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.