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Finding the Fourth Proportional to 12,034.08, 18,046.46 and 4,135.10

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Solution

The fourth proportional to 12,034.08, 18,046.46 and 4,135.10 is: 6,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.08 : 18,046.46 = 4,135.10 : x
  2. Step 2: Convert to fraction form
    12,034.08/18,046.46 = 4,135.10/x
  3. Step 3: Cross multiply
    12,034.08x = 18,046.46 × 4,135.10
  4. Step 4: Simplify right side
    12,034.08x = 74,623,916.75
  5. Step 5: Solve for x
    x = 74,623,916.75/12,034.08
  6. Step 6: Final answer
    x = 6,201.05

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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.