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Finding the Fourth Proportional to 21,868.14, 32,806.46 and 7,829.22

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Solution

The fourth proportional to 21,868.14, 32,806.46 and 7,829.22 is: 11,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.14 : 32,806.46 = 7,829.22 : x
  2. Step 2: Convert to fraction form
    21,868.14/32,806.46 = 7,829.22/x
  3. Step 3: Cross multiply
    21,868.14x = 32,806.46 × 7,829.22
  4. Step 4: Simplify right side
    21,868.14x = 256,848,992.76
  5. Step 5: Solve for x
    x = 256,848,992.76/21,868.14
  6. Step 6: Final answer
    x = 11,745.35

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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.