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Finding the Fourth Proportional to 21,266.87, 31,900.30 and 10,167.50

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Solution

The fourth proportional to 21,266.87, 31,900.30 and 10,167.50 is: 15,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.87 : 31,900.30 = 10,167.50 : x
  2. Step 2: Convert to fraction form
    21,266.87/31,900.30 = 10,167.50/x
  3. Step 3: Cross multiply
    21,266.87x = 31,900.30 × 10,167.50
  4. Step 4: Simplify right side
    21,266.87x = 324,346,286.31
  5. Step 5: Solve for x
    x = 324,346,286.31/21,266.87
  6. Step 6: Final answer
    x = 15,251.25

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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.