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Finding the Fourth Proportional to 23,813.66, 32,863.66 and 13,202.66

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Solution

The fourth proportional to 23,813.66, 32,863.66 and 13,202.66 is: 18,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.66 : 32,863.66 = 13,202.66 : x
  2. Step 2: Convert to fraction form
    23,813.66/32,863.66 = 13,202.66/x
  3. Step 3: Cross multiply
    23,813.66x = 32,863.66 × 13,202.66
  4. Step 4: Simplify right side
    23,813.66x = 433,887,729.34
  5. Step 5: Solve for x
    x = 433,887,729.34/23,813.66
  6. Step 6: Final answer
    x = 18,220.12

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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.