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Finding the Fourth Proportional to 12,034.37, 18,053.82 and 5,461.02

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Solution

The fourth proportional to 12,034.37, 18,053.82 and 5,461.02 is: 8,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.37 : 18,053.82 = 5,461.02 : x
  2. Step 2: Convert to fraction form
    12,034.37/18,053.82 = 5,461.02/x
  3. Step 3: Cross multiply
    12,034.37x = 18,053.82 × 5,461.02
  4. Step 4: Simplify right side
    12,034.37x = 98,592,272.10
  5. Step 5: Solve for x
    x = 98,592,272.10/12,034.37
  6. Step 6: Final answer
    x = 8,192.56

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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.