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Finding the Fourth Proportional to 27,114, 40,671 and 10,698

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Solution

The fourth proportional to 27,114, 40,671 and 10,698 is: 16,047

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114 : 40,671 = 10,698 : x
  2. Step 2: Convert to fraction form
    27,114/40,671 = 10,698/x
  3. Step 3: Cross multiply
    27,114x = 40,671 × 10,698
  4. Step 4: Simplify right side
    27,114x = 435,098,358
  5. Step 5: Solve for x
    x = 435,098,358/27,114
  6. Step 6: Final answer
    x = 16,047

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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.