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Finding the Fourth Proportional to 16,164.34, 24,228.57 and 6,801.61

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Solution

The fourth proportional to 16,164.34, 24,228.57 and 6,801.61 is: 10,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.34 : 24,228.57 = 6,801.61 : x
  2. Step 2: Convert to fraction form
    16,164.34/24,228.57 = 6,801.61/x
  3. Step 3: Cross multiply
    16,164.34x = 24,228.57 × 6,801.61
  4. Step 4: Simplify right side
    16,164.34x = 164,793,284.00
  5. Step 5: Solve for x
    x = 164,793,284.00/16,164.34
  6. Step 6: Final answer
    x = 10,194.87

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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.