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Finding the Fourth Proportional to 16,298.08, 22,491.68 and 9,224.80

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Solution

The fourth proportional to 16,298.08, 22,491.68 and 9,224.80 is: 12,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.08 : 22,491.68 = 9,224.80 : x
  2. Step 2: Convert to fraction form
    16,298.08/22,491.68 = 9,224.80/x
  3. Step 3: Cross multiply
    16,298.08x = 22,491.68 × 9,224.80
  4. Step 4: Simplify right side
    16,298.08x = 207,481,249.66
  5. Step 5: Solve for x
    x = 207,481,249.66/16,298.08
  6. Step 6: Final answer
    x = 12,730.41

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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.