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Finding the Fourth Proportional to 18,137.16, 27,206.04 and 5,657.52

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Solution

The fourth proportional to 18,137.16, 27,206.04 and 5,657.52 is: 8,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.16 : 27,206.04 = 5,657.52 : x
  2. Step 2: Convert to fraction form
    18,137.16/27,206.04 = 5,657.52/x
  3. Step 3: Cross multiply
    18,137.16x = 27,206.04 × 5,657.52
  4. Step 4: Simplify right side
    18,137.16x = 153,918,715.42
  5. Step 5: Solve for x
    x = 153,918,715.42/18,137.16
  6. Step 6: Final answer
    x = 8,486.37

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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.