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Finding the Fourth Proportional to 16,262.71, 22,434.32 and 10,885.38

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Solution

The fourth proportional to 16,262.71, 22,434.32 and 10,885.38 is: 15,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.71 : 22,434.32 = 10,885.38 : x
  2. Step 2: Convert to fraction form
    16,262.71/22,434.32 = 10,885.38/x
  3. Step 3: Cross multiply
    16,262.71x = 22,434.32 × 10,885.38
  4. Step 4: Simplify right side
    16,262.71x = 244,206,000.51
  5. Step 5: Solve for x
    x = 244,206,000.51/16,262.71
  6. Step 6: Final answer
    x = 15,016.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.