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Finding the Fourth Proportional to 12,121.60, 18,181.80 and 3,802.42

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Solution

The fourth proportional to 12,121.60, 18,181.80 and 3,802.42 is: 5,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.60 : 18,181.80 = 3,802.42 : x
  2. Step 2: Convert to fraction form
    12,121.60/18,181.80 = 3,802.42/x
  3. Step 3: Cross multiply
    12,121.60x = 18,181.80 × 3,802.42
  4. Step 4: Simplify right side
    12,121.60x = 69,134,839.96
  5. Step 5: Solve for x
    x = 69,134,839.96/12,121.60
  6. Step 6: Final answer
    x = 5,703.44

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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.