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Finding the Fourth Proportional to 24,183.71, 33,370.62 and 14,111

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Solution

The fourth proportional to 24,183.71, 33,370.62 and 14,111 is: 19,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183.71 : 33,370.62 = 14,111 : x
  2. Step 2: Convert to fraction form
    24,183.71/33,370.62 = 14,111/x
  3. Step 3: Cross multiply
    24,183.71x = 33,370.62 × 14,111
  4. Step 4: Simplify right side
    24,183.71x = 470,892,818.82
  5. Step 5: Solve for x
    x = 470,892,818.82/24,183.71
  6. Step 6: Final answer
    x = 19,471.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.