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Finding the Fourth Proportional to 23,209.80, 34,817.28 and 7,409.20

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Solution

The fourth proportional to 23,209.80, 34,817.28 and 7,409.20 is: 11,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.80 : 34,817.28 = 7,409.20 : x
  2. Step 2: Convert to fraction form
    23,209.80/34,817.28 = 7,409.20/x
  3. Step 3: Cross multiply
    23,209.80x = 34,817.28 × 7,409.20
  4. Step 4: Simplify right side
    23,209.80x = 257,968,190.98
  5. Step 5: Solve for x
    x = 257,968,190.98/23,209.80
  6. Step 6: Final answer
    x = 11,114.62

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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.