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Finding the Fourth Proportional to 12,175.78, 18,262.26 and 3,411.40

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Solution

The fourth proportional to 12,175.78, 18,262.26 and 3,411.40 is: 5,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.78 : 18,262.26 = 3,411.40 : x
  2. Step 2: Convert to fraction form
    12,175.78/18,262.26 = 3,411.40/x
  3. Step 3: Cross multiply
    12,175.78x = 18,262.26 × 3,411.40
  4. Step 4: Simplify right side
    12,175.78x = 62,299,873.76
  5. Step 5: Solve for x
    x = 62,299,873.76/12,175.78
  6. Step 6: Final answer
    x = 5,116.70

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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.