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Finding the Fourth Proportional to 16,602.11, 24,889.59 and 7,722.97

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Solution

The fourth proportional to 16,602.11, 24,889.59 and 7,722.97 is: 11,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.11 : 24,889.59 = 7,722.97 : x
  2. Step 2: Convert to fraction form
    16,602.11/24,889.59 = 7,722.97/x
  3. Step 3: Cross multiply
    16,602.11x = 24,889.59 × 7,722.97
  4. Step 4: Simplify right side
    16,602.11x = 192,221,542.94
  5. Step 5: Solve for x
    x = 192,221,542.94/16,602.11
  6. Step 6: Final answer
    x = 11,578.14

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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.