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Finding the Fourth Proportional to 23,822.51, 32,874.24 and 13,213.13

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Solution

The fourth proportional to 23,822.51, 32,874.24 and 13,213.13 is: 18,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.51 : 32,874.24 = 13,213.13 : x
  2. Step 2: Convert to fraction form
    23,822.51/32,874.24 = 13,213.13/x
  3. Step 3: Cross multiply
    23,822.51x = 32,874.24 × 13,213.13
  4. Step 4: Simplify right side
    23,822.51x = 434,371,695.00
  5. Step 5: Solve for x
    x = 434,371,695.00/23,822.51
  6. Step 6: Final answer
    x = 18,233.66

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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.