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Finding the Fourth Proportional to 24,889.72, 37,324.84 and 11,029

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Solution

The fourth proportional to 24,889.72, 37,324.84 and 11,029 is: 16,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,889.72 : 37,324.84 = 11,029 : x
  2. Step 2: Convert to fraction form
    24,889.72/37,324.84 = 11,029/x
  3. Step 3: Cross multiply
    24,889.72x = 37,324.84 × 11,029
  4. Step 4: Simplify right side
    24,889.72x = 411,655,660.36
  5. Step 5: Solve for x
    x = 411,655,660.36/24,889.72
  6. Step 6: Final answer
    x = 16,539.18

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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.