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Finding the Fourth Proportional to 23,431.29, 32,335.98 and 13,361.22

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Solution

The fourth proportional to 23,431.29, 32,335.98 and 13,361.22 is: 18,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.29 : 32,335.98 = 13,361.22 : x
  2. Step 2: Convert to fraction form
    23,431.29/32,335.98 = 13,361.22/x
  3. Step 3: Cross multiply
    23,431.29x = 32,335.98 × 13,361.22
  4. Step 4: Simplify right side
    23,431.29x = 432,048,142.70
  5. Step 5: Solve for x
    x = 432,048,142.70/23,431.29
  6. Step 6: Final answer
    x = 18,438.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.