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Finding the Fourth Proportional to 14,380.80, 21,571.20 and 9,715.20

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Solution

The fourth proportional to 14,380.80, 21,571.20 and 9,715.20 is: 14,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.80 : 21,571.20 = 9,715.20 : x
  2. Step 2: Convert to fraction form
    14,380.80/21,571.20 = 9,715.20/x
  3. Step 3: Cross multiply
    14,380.80x = 21,571.20 × 9,715.20
  4. Step 4: Simplify right side
    14,380.80x = 209,568,522.24
  5. Step 5: Solve for x
    x = 209,568,522.24/14,380.80
  6. Step 6: Final answer
    x = 14,572.80

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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.