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Finding the Fourth Proportional to 16,284.50, 22,469.74 and 9,998.90

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Solution

The fourth proportional to 16,284.50, 22,469.74 and 9,998.90 is: 13,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.50 : 22,469.74 = 9,998.90 : x
  2. Step 2: Convert to fraction form
    16,284.50/22,469.74 = 9,998.90/x
  3. Step 3: Cross multiply
    16,284.50x = 22,469.74 × 9,998.90
  4. Step 4: Simplify right side
    16,284.50x = 224,672,683.29
  5. Step 5: Solve for x
    x = 224,672,683.29/16,284.50
  6. Step 6: Final answer
    x = 13,796.72

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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.