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Finding the Fourth Proportional to 23,165.91, 34,744.50 and 11,307.78

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Solution

The fourth proportional to 23,165.91, 34,744.50 and 11,307.78 is: 16,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.91 : 34,744.50 = 11,307.78 : x
  2. Step 2: Convert to fraction form
    23,165.91/34,744.50 = 11,307.78/x
  3. Step 3: Cross multiply
    23,165.91x = 34,744.50 × 11,307.78
  4. Step 4: Simplify right side
    23,165.91x = 392,883,162.21
  5. Step 5: Solve for x
    x = 392,883,162.21/23,165.91
  6. Step 6: Final answer
    x = 16,959.54

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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.