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Finding the Fourth Proportional to 14,211.20, 21,323.20 and 6,812.80

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Solution

The fourth proportional to 14,211.20, 21,323.20 and 6,812.80 is: 10,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.20 : 21,323.20 = 6,812.80 : x
  2. Step 2: Convert to fraction form
    14,211.20/21,323.20 = 6,812.80/x
  3. Step 3: Cross multiply
    14,211.20x = 21,323.20 × 6,812.80
  4. Step 4: Simplify right side
    14,211.20x = 145,270,696.96
  5. Step 5: Solve for x
    x = 145,270,696.96/14,211.20
  6. Step 6: Final answer
    x = 10,222.27

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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.