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Finding the Fourth Proportional to 21,469.44, 32,197.68 and 12,702

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Solution

The fourth proportional to 21,469.44, 32,197.68 and 12,702 is: 19,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.44 : 32,197.68 = 12,702 : x
  2. Step 2: Convert to fraction form
    21,469.44/32,197.68 = 12,702/x
  3. Step 3: Cross multiply
    21,469.44x = 32,197.68 × 12,702
  4. Step 4: Simplify right side
    21,469.44x = 408,974,931.36
  5. Step 5: Solve for x
    x = 408,974,931.36/21,469.44
  6. Step 6: Final answer
    x = 19,049.17

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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.