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Finding the Fourth Proportional to 16,196.76, 24,309.72 and 8,411.04

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Solution

The fourth proportional to 16,196.76, 24,309.72 and 8,411.04 is: 12,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.76 : 24,309.72 = 8,411.04 : x
  2. Step 2: Convert to fraction form
    16,196.76/24,309.72 = 8,411.04/x
  3. Step 3: Cross multiply
    16,196.76x = 24,309.72 × 8,411.04
  4. Step 4: Simplify right side
    16,196.76x = 204,470,027.31
  5. Step 5: Solve for x
    x = 204,470,027.31/16,196.76
  6. Step 6: Final answer
    x = 12,624.13

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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.