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Finding the Fourth Proportional to 23,205.31, 32,017.84 and 13,133.75

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Solution

The fourth proportional to 23,205.31, 32,017.84 and 13,133.75 is: 18,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.31 : 32,017.84 = 13,133.75 : x
  2. Step 2: Convert to fraction form
    23,205.31/32,017.84 = 13,133.75/x
  3. Step 3: Cross multiply
    23,205.31x = 32,017.84 × 13,133.75
  4. Step 4: Simplify right side
    23,205.31x = 420,514,420.27
  5. Step 5: Solve for x
    x = 420,514,420.27/23,205.31
  6. Step 6: Final answer
    x = 18,121.47

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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.