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Finding the Fourth Proportional to 13,737.18, 20,602.62 and 8,192.10

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Solution

The fourth proportional to 13,737.18, 20,602.62 and 8,192.10 is: 12,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.18 : 20,602.62 = 8,192.10 : x
  2. Step 2: Convert to fraction form
    13,737.18/20,602.62 = 8,192.10/x
  3. Step 3: Cross multiply
    13,737.18x = 20,602.62 × 8,192.10
  4. Step 4: Simplify right side
    13,737.18x = 168,778,723.30
  5. Step 5: Solve for x
    x = 168,778,723.30/13,737.18
  6. Step 6: Final answer
    x = 12,286.27

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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.