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Finding the Fourth Proportional to 12,034.74, 18,054.36 and 5,461.44

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Solution

The fourth proportional to 12,034.74, 18,054.36 and 5,461.44 is: 8,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.74 : 18,054.36 = 5,461.44 : x
  2. Step 2: Convert to fraction form
    12,034.74/18,054.36 = 5,461.44/x
  3. Step 3: Cross multiply
    12,034.74x = 18,054.36 × 5,461.44
  4. Step 4: Simplify right side
    12,034.74x = 98,602,803.88
  5. Step 5: Solve for x
    x = 98,602,803.88/12,034.74
  6. Step 6: Final answer
    x = 8,193.18

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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.