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Finding the Fourth Proportional to 17,018, 23,485.08 and 10,394

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Solution

The fourth proportional to 17,018, 23,485.08 and 10,394 is: 14,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,018 : 23,485.08 = 10,394 : x
  2. Step 2: Convert to fraction form
    17,018/23,485.08 = 10,394/x
  3. Step 3: Cross multiply
    17,018x = 23,485.08 × 10,394
  4. Step 4: Simplify right side
    17,018x = 244,103,921.52
  5. Step 5: Solve for x
    x = 244,103,921.52/17,018
  6. Step 6: Final answer
    x = 14,343.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.