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Finding the Fourth Proportional to 12,118.93, 18,178.82 and 3,354.50

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Solution

The fourth proportional to 12,118.93, 18,178.82 and 3,354.50 is: 5,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.93 : 18,178.82 = 3,354.50 : x
  2. Step 2: Convert to fraction form
    12,118.93/18,178.82 = 3,354.50/x
  3. Step 3: Cross multiply
    12,118.93x = 18,178.82 × 3,354.50
  4. Step 4: Simplify right side
    12,118.93x = 60,980,851.69
  5. Step 5: Solve for x
    x = 60,980,851.69/12,118.93
  6. Step 6: Final answer
    x = 5,031.87

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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.