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Finding the Fourth Proportional to 16,144.75, 22,288.89 and 10,484.56

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Solution

The fourth proportional to 16,144.75, 22,288.89 and 10,484.56 is: 14,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.75 : 22,288.89 = 10,484.56 : x
  2. Step 2: Convert to fraction form
    16,144.75/22,288.89 = 10,484.56/x
  3. Step 3: Cross multiply
    16,144.75x = 22,288.89 × 10,484.56
  4. Step 4: Simplify right side
    16,144.75x = 233,689,204.54
  5. Step 5: Solve for x
    x = 233,689,204.54/16,144.75
  6. Step 6: Final answer
    x = 14,474.63

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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.