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Finding the Fourth Proportional to 16,042, 22,128.24 and 10,367.68

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Solution

The fourth proportional to 16,042, 22,128.24 and 10,367.68 is: 14,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042 : 22,128.24 = 10,367.68 : x
  2. Step 2: Convert to fraction form
    16,042/22,128.24 = 10,367.68/x
  3. Step 3: Cross multiply
    16,042x = 22,128.24 × 10,367.68
  4. Step 4: Simplify right side
    16,042x = 229,418,511.28
  5. Step 5: Solve for x
    x = 229,418,511.28/16,042
  6. Step 6: Final answer
    x = 14,301.12

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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.