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Finding the Fourth Proportional to 21,109.33, 31,672.50 and 7,965.46

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Solution

The fourth proportional to 21,109.33, 31,672.50 and 7,965.46 is: 11,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.33 : 31,672.50 = 7,965.46 : x
  2. Step 2: Convert to fraction form
    21,109.33/31,672.50 = 7,965.46/x
  3. Step 3: Cross multiply
    21,109.33x = 31,672.50 × 7,965.46
  4. Step 4: Simplify right side
    21,109.33x = 252,286,031.85
  5. Step 5: Solve for x
    x = 252,286,031.85/21,109.33
  6. Step 6: Final answer
    x = 11,951.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.