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Finding the Fourth Proportional to 18,400.50, 27,610.02 and 8,404.11

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Solution

The fourth proportional to 18,400.50, 27,610.02 and 8,404.11 is: 12,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.50 : 27,610.02 = 8,404.11 : x
  2. Step 2: Convert to fraction form
    18,400.50/27,610.02 = 8,404.11/x
  3. Step 3: Cross multiply
    18,400.50x = 27,610.02 × 8,404.11
  4. Step 4: Simplify right side
    18,400.50x = 232,037,645.18
  5. Step 5: Solve for x
    x = 232,037,645.18/18,400.50
  6. Step 6: Final answer
    x = 12,610.40

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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.