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Finding the Fourth Proportional to 21,806.14, 32,709.50 and 6,223.76

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Solution

The fourth proportional to 21,806.14, 32,709.50 and 6,223.76 is: 9,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.14 : 32,709.50 = 6,223.76 : x
  2. Step 2: Convert to fraction form
    21,806.14/32,709.50 = 6,223.76/x
  3. Step 3: Cross multiply
    21,806.14x = 32,709.50 × 6,223.76
  4. Step 4: Simplify right side
    21,806.14x = 203,576,077.72
  5. Step 5: Solve for x
    x = 203,576,077.72/21,806.14
  6. Step 6: Final answer
    x = 9,335.72

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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.