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Finding the Fourth Proportional to 21,865.67, 30,171.85 and 12,434.43

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Solution

The fourth proportional to 21,865.67, 30,171.85 and 12,434.43 is: 17,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.67 : 30,171.85 = 12,434.43 : x
  2. Step 2: Convert to fraction form
    21,865.67/30,171.85 = 12,434.43/x
  3. Step 3: Cross multiply
    21,865.67x = 30,171.85 × 12,434.43
  4. Step 4: Simplify right side
    21,865.67x = 375,169,756.80
  5. Step 5: Solve for x
    x = 375,169,756.80/21,865.67
  6. Step 6: Final answer
    x = 17,157.94

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