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Finding the Fourth Proportional to 23,829.84, 32,883.64 and 13,218.76

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Solution

The fourth proportional to 23,829.84, 32,883.64 and 13,218.76 is: 18,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.84 : 32,883.64 = 13,218.76 : x
  2. Step 2: Convert to fraction form
    23,829.84/32,883.64 = 13,218.76/x
  3. Step 3: Cross multiply
    23,829.84x = 32,883.64 × 13,218.76
  4. Step 4: Simplify right side
    23,829.84x = 434,680,945.09
  5. Step 5: Solve for x
    x = 434,680,945.09/23,829.84
  6. Step 6: Final answer
    x = 18,241.03

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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.