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Finding the Fourth Proportional to 16,388.72, 22,616.80 and 9,676

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Solution

The fourth proportional to 16,388.72, 22,616.80 and 9,676 is: 13,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388.72 : 22,616.80 = 9,676 : x
  2. Step 2: Convert to fraction form
    16,388.72/22,616.80 = 9,676/x
  3. Step 3: Cross multiply
    16,388.72x = 22,616.80 × 9,676
  4. Step 4: Simplify right side
    16,388.72x = 218,840,156.80
  5. Step 5: Solve for x
    x = 218,840,156.80/16,388.72
  6. Step 6: Final answer
    x = 13,353.10

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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.