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Finding the Fourth Proportional to 18,530.65, 27,799.26 and 6,047.20

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Solution

The fourth proportional to 18,530.65, 27,799.26 and 6,047.20 is: 9,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530.65 : 27,799.26 = 6,047.20 : x
  2. Step 2: Convert to fraction form
    18,530.65/27,799.26 = 6,047.20/x
  3. Step 3: Cross multiply
    18,530.65x = 27,799.26 × 6,047.20
  4. Step 4: Simplify right side
    18,530.65x = 168,107,685.07
  5. Step 5: Solve for x
    x = 168,107,685.07/18,530.65
  6. Step 6: Final answer
    x = 9,071.87

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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.