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Finding the Fourth Proportional to 23,244.78, 34,880.82 and 9,206.16

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Solution

The fourth proportional to 23,244.78, 34,880.82 and 9,206.16 is: 13,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,244.78 : 34,880.82 = 9,206.16 : x
  2. Step 2: Convert to fraction form
    23,244.78/34,880.82 = 9,206.16/x
  3. Step 3: Cross multiply
    23,244.78x = 34,880.82 × 9,206.16
  4. Step 4: Simplify right side
    23,244.78x = 321,118,409.85
  5. Step 5: Solve for x
    x = 321,118,409.85/23,244.78
  6. Step 6: Final answer
    x = 13,814.65

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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.