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Finding the Fourth Proportional to 18,205.66, 27,291.48 and 8,335

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Solution

The fourth proportional to 18,205.66, 27,291.48 and 8,335 is: 12,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.66 : 27,291.48 = 8,335 : x
  2. Step 2: Convert to fraction form
    18,205.66/27,291.48 = 8,335/x
  3. Step 3: Cross multiply
    18,205.66x = 27,291.48 × 8,335
  4. Step 4: Simplify right side
    18,205.66x = 227,474,485.80
  5. Step 5: Solve for x
    x = 227,474,485.80/18,205.66
  6. Step 6: Final answer
    x = 12,494.71

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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.