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Finding the Fourth Proportional to 21,865.46, 32,770.50 and 13,964.93

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Solution

The fourth proportional to 21,865.46, 32,770.50 and 13,964.93 is: 20,929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.46 : 32,770.50 = 13,964.93 : x
  2. Step 2: Convert to fraction form
    21,865.46/32,770.50 = 13,964.93/x
  3. Step 3: Cross multiply
    21,865.46x = 32,770.50 × 13,964.93
  4. Step 4: Simplify right side
    21,865.46x = 457,637,738.57
  5. Step 5: Solve for x
    x = 457,637,738.57/21,865.46
  6. Step 6: Final answer
    x = 20,929.71

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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.