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Finding the Fourth Proportional to 23,827.50, 32,881.98 and 13,218.78

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Solution

The fourth proportional to 23,827.50, 32,881.98 and 13,218.78 is: 18,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.50 : 32,881.98 = 13,218.78 : x
  2. Step 2: Convert to fraction form
    23,827.50/32,881.98 = 13,218.78/x
  3. Step 3: Cross multiply
    23,827.50x = 32,881.98 × 13,218.78
  4. Step 4: Simplify right side
    23,827.50x = 434,659,659.58
  5. Step 5: Solve for x
    x = 434,659,659.58/23,827.50
  6. Step 6: Final answer
    x = 18,241.93

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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.