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Finding the Fourth Proportional to 23,824.50, 32,877.96 and 13,214.16

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Solution

The fourth proportional to 23,824.50, 32,877.96 and 13,214.16 is: 18,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.50 : 32,877.96 = 13,214.16 : x
  2. Step 2: Convert to fraction form
    23,824.50/32,877.96 = 13,214.16/x
  3. Step 3: Cross multiply
    23,824.50x = 32,877.96 × 13,214.16
  4. Step 4: Simplify right side
    23,824.50x = 434,454,673.47
  5. Step 5: Solve for x
    x = 434,454,673.47/23,824.50
  6. Step 6: Final answer
    x = 18,235.63

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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.