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Finding the Fourth Proportional to 23,223.72, 34,823.29 and 9,183.18

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Solution

The fourth proportional to 23,223.72, 34,823.29 and 9,183.18 is: 13,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.72 : 34,823.29 = 9,183.18 : x
  2. Step 2: Convert to fraction form
    23,223.72/34,823.29 = 9,183.18/x
  3. Step 3: Cross multiply
    23,223.72x = 34,823.29 × 9,183.18
  4. Step 4: Simplify right side
    23,223.72x = 319,788,540.26
  5. Step 5: Solve for x
    x = 319,788,540.26/23,223.72
  6. Step 6: Final answer
    x = 13,769.91

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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.