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Finding the Fourth Proportional to 18,050.40, 27,097.20 and 10,159.20

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Solution

The fourth proportional to 18,050.40, 27,097.20 and 10,159.20 is: 15,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,050.40 : 27,097.20 = 10,159.20 : x
  2. Step 2: Convert to fraction form
    18,050.40/27,097.20 = 10,159.20/x
  3. Step 3: Cross multiply
    18,050.40x = 27,097.20 × 10,159.20
  4. Step 4: Simplify right side
    18,050.40x = 275,285,874.24
  5. Step 5: Solve for x
    x = 275,285,874.24/18,050.40
  6. Step 6: Final answer
    x = 15,250.96

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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.