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Finding the Fourth Proportional to 18,599.60, 27,832.54 and 13,657

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Solution

The fourth proportional to 18,599.60, 27,832.54 and 13,657 is: 20,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,599.60 : 27,832.54 = 13,657 : x
  2. Step 2: Convert to fraction form
    18,599.60/27,832.54 = 13,657/x
  3. Step 3: Cross multiply
    18,599.60x = 27,832.54 × 13,657
  4. Step 4: Simplify right side
    18,599.60x = 380,108,998.78
  5. Step 5: Solve for x
    x = 380,108,998.78/18,599.60
  6. Step 6: Final answer
    x = 20,436.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.