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Finding the Fourth Proportional to 18,097.76, 27,164.18 and 8,744.36

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Solution

The fourth proportional to 18,097.76, 27,164.18 and 8,744.36 is: 13,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.76 : 27,164.18 = 8,744.36 : x
  2. Step 2: Convert to fraction form
    18,097.76/27,164.18 = 8,744.36/x
  3. Step 3: Cross multiply
    18,097.76x = 27,164.18 × 8,744.36
  4. Step 4: Simplify right side
    18,097.76x = 237,533,369.02
  5. Step 5: Solve for x
    x = 237,533,369.02/18,097.76
  6. Step 6: Final answer
    x = 13,125.01

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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.