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Finding the Fourth Proportional to 16,433.15, 22,682.03 and 10,141.88

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Solution

The fourth proportional to 16,433.15, 22,682.03 and 10,141.88 is: 13,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.15 : 22,682.03 = 10,141.88 : x
  2. Step 2: Convert to fraction form
    16,433.15/22,682.03 = 10,141.88/x
  3. Step 3: Cross multiply
    16,433.15x = 22,682.03 × 10,141.88
  4. Step 4: Simplify right side
    16,433.15x = 230,038,262.30
  5. Step 5: Solve for x
    x = 230,038,262.30/16,433.15
  6. Step 6: Final answer
    x = 13,998.43

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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.