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Finding the Fourth Proportional to 12,156.48, 18,182.88 and 7,464.96

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Solution

The fourth proportional to 12,156.48, 18,182.88 and 7,464.96 is: 11,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.48 : 18,182.88 = 7,464.96 : x
  2. Step 2: Convert to fraction form
    12,156.48/18,182.88 = 7,464.96/x
  3. Step 3: Cross multiply
    12,156.48x = 18,182.88 × 7,464.96
  4. Step 4: Simplify right side
    12,156.48x = 135,734,471.88
  5. Step 5: Solve for x
    x = 135,734,471.88/12,156.48
  6. Step 6: Final answer
    x = 11,165.61

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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.