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Finding the Fourth Proportional to 18,530.81, 27,799.12 and 6,047.95

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Solution

The fourth proportional to 18,530.81, 27,799.12 and 6,047.95 is: 9,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530.81 : 27,799.12 = 6,047.95 : x
  2. Step 2: Convert to fraction form
    18,530.81/27,799.12 = 6,047.95/x
  3. Step 3: Cross multiply
    18,530.81x = 27,799.12 × 6,047.95
  4. Step 4: Simplify right side
    18,530.81x = 168,127,687.80
  5. Step 5: Solve for x
    x = 168,127,687.80/18,530.81
  6. Step 6: Final answer
    x = 9,072.87

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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.