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Finding the Fourth Proportional to 23,822.71, 32,876.08 and 13,213.33

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Solution

The fourth proportional to 23,822.71, 32,876.08 and 13,213.33 is: 18,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.71 : 32,876.08 = 13,213.33 : x
  2. Step 2: Convert to fraction form
    23,822.71/32,876.08 = 13,213.33/x
  3. Step 3: Cross multiply
    23,822.71x = 32,876.08 × 13,213.33
  4. Step 4: Simplify right side
    23,822.71x = 434,402,378.92
  5. Step 5: Solve for x
    x = 434,402,378.92/23,822.71
  6. Step 6: Final answer
    x = 18,234.80

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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.