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Finding the Fourth Proportional to 12,305.52, 18,466.48 and 5,732.37

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Solution

The fourth proportional to 12,305.52, 18,466.48 and 5,732.37 is: 8,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.52 : 18,466.48 = 5,732.37 : x
  2. Step 2: Convert to fraction form
    12,305.52/18,466.48 = 5,732.37/x
  3. Step 3: Cross multiply
    12,305.52x = 18,466.48 × 5,732.37
  4. Step 4: Simplify right side
    12,305.52x = 105,856,703.12
  5. Step 5: Solve for x
    x = 105,856,703.12/12,305.52
  6. Step 6: Final answer
    x = 8,602.38

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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.