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Finding the Fourth Proportional to 18,102.62, 27,154.32 and 10,295

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Solution

The fourth proportional to 18,102.62, 27,154.32 and 10,295 is: 15,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.62 : 27,154.32 = 10,295 : x
  2. Step 2: Convert to fraction form
    18,102.62/27,154.32 = 10,295/x
  3. Step 3: Cross multiply
    18,102.62x = 27,154.32 × 10,295
  4. Step 4: Simplify right side
    18,102.62x = 279,553,724.40
  5. Step 5: Solve for x
    x = 279,553,724.40/18,102.62
  6. Step 6: Final answer
    x = 15,442.72

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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.