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Finding the Fourth Proportional to 23,813.96, 32,863.10 and 13,203.60

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Solution

The fourth proportional to 23,813.96, 32,863.10 and 13,203.60 is: 18,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.96 : 32,863.10 = 13,203.60 : x
  2. Step 2: Convert to fraction form
    23,813.96/32,863.10 = 13,203.60/x
  3. Step 3: Cross multiply
    23,813.96x = 32,863.10 × 13,203.60
  4. Step 4: Simplify right side
    23,813.96x = 433,911,227.16
  5. Step 5: Solve for x
    x = 433,911,227.16/23,813.96
  6. Step 6: Final answer
    x = 18,220.88

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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.