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Finding the Fourth Proportional to 21,431.25, 32,146.88 and 9,747.81

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Solution

The fourth proportional to 21,431.25, 32,146.88 and 9,747.81 is: 14,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.25 : 32,146.88 = 9,747.81 : x
  2. Step 2: Convert to fraction form
    21,431.25/32,146.88 = 9,747.81/x
  3. Step 3: Cross multiply
    21,431.25x = 32,146.88 × 9,747.81
  4. Step 4: Simplify right side
    21,431.25x = 313,361,468.86
  5. Step 5: Solve for x
    x = 313,361,468.86/21,431.25
  6. Step 6: Final answer
    x = 14,621.71

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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.