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Finding the Fourth Proportional to 16,096.91, 22,214.97 and 10,133.69

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Solution

The fourth proportional to 16,096.91, 22,214.97 and 10,133.69 is: 13,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.91 : 22,214.97 = 10,133.69 : x
  2. Step 2: Convert to fraction form
    16,096.91/22,214.97 = 10,133.69/x
  3. Step 3: Cross multiply
    16,096.91x = 22,214.97 × 10,133.69
  4. Step 4: Simplify right side
    16,096.91x = 225,119,508.26
  5. Step 5: Solve for x
    x = 225,119,508.26/16,096.91
  6. Step 6: Final answer
    x = 13,985.27

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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.