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Finding the Fourth Proportional to 12,199.47, 18,297.31 and 3,878.40

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Solution

The fourth proportional to 12,199.47, 18,297.31 and 3,878.40 is: 5,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.47 : 18,297.31 = 3,878.40 : x
  2. Step 2: Convert to fraction form
    12,199.47/18,297.31 = 3,878.40/x
  3. Step 3: Cross multiply
    12,199.47x = 18,297.31 × 3,878.40
  4. Step 4: Simplify right side
    12,199.47x = 70,964,287.10
  5. Step 5: Solve for x
    x = 70,964,287.10/12,199.47
  6. Step 6: Final answer
    x = 5,817.00

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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.