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Finding the Fourth Proportional to 16,298.25, 22,491.61 and 8,846.25

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Solution

The fourth proportional to 16,298.25, 22,491.61 and 8,846.25 is: 12,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.25 : 22,491.61 = 8,846.25 : x
  2. Step 2: Convert to fraction form
    16,298.25/22,491.61 = 8,846.25/x
  3. Step 3: Cross multiply
    16,298.25x = 22,491.61 × 8,846.25
  4. Step 4: Simplify right side
    16,298.25x = 198,966,360.73
  5. Step 5: Solve for x
    x = 198,966,360.73/16,298.25
  6. Step 6: Final answer
    x = 12,207.84

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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.