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Finding the Fourth Proportional to 22,951.44, 34,403.48 and 9,632.16

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Solution

The fourth proportional to 22,951.44, 34,403.48 and 9,632.16 is: 14,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.44 : 34,403.48 = 9,632.16 : x
  2. Step 2: Convert to fraction form
    22,951.44/34,403.48 = 9,632.16/x
  3. Step 3: Cross multiply
    22,951.44x = 34,403.48 × 9,632.16
  4. Step 4: Simplify right side
    22,951.44x = 331,379,823.92
  5. Step 5: Solve for x
    x = 331,379,823.92/22,951.44
  6. Step 6: Final answer
    x = 14,438.30

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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.