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Finding the Fourth Proportional to 19,770.66, 27,274.08 and 12,214.26

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Solution

The fourth proportional to 19,770.66, 27,274.08 and 12,214.26 is: 16,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.66 : 27,274.08 = 12,214.26 : x
  2. Step 2: Convert to fraction form
    19,770.66/27,274.08 = 12,214.26/x
  3. Step 3: Cross multiply
    19,770.66x = 27,274.08 × 12,214.26
  4. Step 4: Simplify right side
    19,770.66x = 333,132,704.38
  5. Step 5: Solve for x
    x = 333,132,704.38/19,770.66
  6. Step 6: Final answer
    x = 16,849.85

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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.