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Finding the Fourth Proportional to 12,175.42, 18,266.10 and 3,410.20

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Solution

The fourth proportional to 12,175.42, 18,266.10 and 3,410.20 is: 5,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.42 : 18,266.10 = 3,410.20 : x
  2. Step 2: Convert to fraction form
    12,175.42/18,266.10 = 3,410.20/x
  3. Step 3: Cross multiply
    12,175.42x = 18,266.10 × 3,410.20
  4. Step 4: Simplify right side
    12,175.42x = 62,291,054.22
  5. Step 5: Solve for x
    x = 62,291,054.22/12,175.42
  6. Step 6: Final answer
    x = 5,116.13

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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.