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Finding the Fourth Proportional to 18,357.22, 27,532.17 and 8,993.20

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Solution

The fourth proportional to 18,357.22, 27,532.17 and 8,993.20 is: 13,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.22 : 27,532.17 = 8,993.20 : x
  2. Step 2: Convert to fraction form
    18,357.22/27,532.17 = 8,993.20/x
  3. Step 3: Cross multiply
    18,357.22x = 27,532.17 × 8,993.20
  4. Step 4: Simplify right side
    18,357.22x = 247,602,311.24
  5. Step 5: Solve for x
    x = 247,602,311.24/18,357.22
  6. Step 6: Final answer
    x = 13,488.01

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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.