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Finding the Fourth Proportional to 16,503, 22,774.03 and 8,949.34

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Solution

The fourth proportional to 16,503, 22,774.03 and 8,949.34 is: 12,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503 : 22,774.03 = 8,949.34 : x
  2. Step 2: Convert to fraction form
    16,503/22,774.03 = 8,949.34/x
  3. Step 3: Cross multiply
    16,503x = 22,774.03 × 8,949.34
  4. Step 4: Simplify right side
    16,503x = 203,812,537.64
  5. Step 5: Solve for x
    x = 203,812,537.64/16,503
  6. Step 6: Final answer
    x = 12,350.03

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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.