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Finding the Fourth Proportional to 16,079.69, 22,182.56 and 10,416.32

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Solution

The fourth proportional to 16,079.69, 22,182.56 and 10,416.32 is: 14,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,079.69 : 22,182.56 = 10,416.32 : x
  2. Step 2: Convert to fraction form
    16,079.69/22,182.56 = 10,416.32/x
  3. Step 3: Cross multiply
    16,079.69x = 22,182.56 × 10,416.32
  4. Step 4: Simplify right side
    16,079.69x = 231,060,480.38
  5. Step 5: Solve for x
    x = 231,060,480.38/16,079.69
  6. Step 6: Final answer
    x = 14,369.71

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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.