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Finding the Fourth Proportional to 11,814.72, 17,724.16 and 4,424.16

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Solution

The fourth proportional to 11,814.72, 17,724.16 and 4,424.16 is: 6,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.72 : 17,724.16 = 4,424.16 : x
  2. Step 2: Convert to fraction form
    11,814.72/17,724.16 = 4,424.16/x
  3. Step 3: Cross multiply
    11,814.72x = 17,724.16 × 4,424.16
  4. Step 4: Simplify right side
    11,814.72x = 78,414,519.71
  5. Step 5: Solve for x
    x = 78,414,519.71/11,814.72
  6. Step 6: Final answer
    x = 6,637.02

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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.