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Finding the Fourth Proportional to 23,832, 32,888.16 and 13,223.34

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Solution

The fourth proportional to 23,832, 32,888.16 and 13,223.34 is: 18,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832 : 32,888.16 = 13,223.34 : x
  2. Step 2: Convert to fraction form
    23,832/32,888.16 = 13,223.34/x
  3. Step 3: Cross multiply
    23,832x = 32,888.16 × 13,223.34
  4. Step 4: Simplify right side
    23,832x = 434,891,321.65
  5. Step 5: Solve for x
    x = 434,891,321.65/23,832
  6. Step 6: Final answer
    x = 18,248.21

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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.