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Finding the Fourth Proportional to 12,665, 18,998.04 and 3,431

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Solution

The fourth proportional to 12,665, 18,998.04 and 3,431 is: 5,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665 : 18,998.04 = 3,431 : x
  2. Step 2: Convert to fraction form
    12,665/18,998.04 = 3,431/x
  3. Step 3: Cross multiply
    12,665x = 18,998.04 × 3,431
  4. Step 4: Simplify right side
    12,665x = 65,182,275.24
  5. Step 5: Solve for x
    x = 65,182,275.24/12,665
  6. Step 6: Final answer
    x = 5,146.65

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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.