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Finding the Fourth Proportional to 16,228.16, 24,351.84 and 6,867.68

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Solution

The fourth proportional to 16,228.16, 24,351.84 and 6,867.68 is: 10,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.16 : 24,351.84 = 6,867.68 : x
  2. Step 2: Convert to fraction form
    16,228.16/24,351.84 = 6,867.68/x
  3. Step 3: Cross multiply
    16,228.16x = 24,351.84 × 6,867.68
  4. Step 4: Simplify right side
    16,228.16x = 167,240,644.53
  5. Step 5: Solve for x
    x = 167,240,644.53/16,228.16
  6. Step 6: Final answer
    x = 10,305.58

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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.