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Finding the Fourth Proportional to 16,220.32, 22,384.70 and 10,249.81

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Solution

The fourth proportional to 16,220.32, 22,384.70 and 10,249.81 is: 14,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.32 : 22,384.70 = 10,249.81 : x
  2. Step 2: Convert to fraction form
    16,220.32/22,384.70 = 10,249.81/x
  3. Step 3: Cross multiply
    16,220.32x = 22,384.70 × 10,249.81
  4. Step 4: Simplify right side
    16,220.32x = 229,438,921.91
  5. Step 5: Solve for x
    x = 229,438,921.91/16,220.32
  6. Step 6: Final answer
    x = 14,145.15

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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.