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Finding the Fourth Proportional to 16,282.50, 22,466.98 and 9,996.90

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Solution

The fourth proportional to 16,282.50, 22,466.98 and 9,996.90 is: 13,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.50 : 22,466.98 = 9,996.90 : x
  2. Step 2: Convert to fraction form
    16,282.50/22,466.98 = 9,996.90/x
  3. Step 3: Cross multiply
    16,282.50x = 22,466.98 × 9,996.90
  4. Step 4: Simplify right side
    16,282.50x = 224,600,152.36
  5. Step 5: Solve for x
    x = 224,600,152.36/16,282.50
  6. Step 6: Final answer
    x = 13,793.96

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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.