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Finding the Fourth Proportional to 23,823.88, 32,877.21 and 13,214.19

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Solution

The fourth proportional to 23,823.88, 32,877.21 and 13,214.19 is: 18,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.88 : 32,877.21 = 13,214.19 : x
  2. Step 2: Convert to fraction form
    23,823.88/32,877.21 = 13,214.19/x
  3. Step 3: Cross multiply
    23,823.88x = 32,877.21 × 13,214.19
  4. Step 4: Simplify right side
    23,823.88x = 434,445,633.54
  5. Step 5: Solve for x
    x = 434,445,633.54/23,823.88
  6. Step 6: Final answer
    x = 18,235.73

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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.