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Finding the Fourth Proportional to 16,107.82, 22,229 and 9,733.52

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Solution

The fourth proportional to 16,107.82, 22,229 and 9,733.52 is: 13,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.82 : 22,229 = 9,733.52 : x
  2. Step 2: Convert to fraction form
    16,107.82/22,229 = 9,733.52/x
  3. Step 3: Cross multiply
    16,107.82x = 22,229 × 9,733.52
  4. Step 4: Simplify right side
    16,107.82x = 216,366,416.08
  5. Step 5: Solve for x
    x = 216,366,416.08/16,107.82
  6. Step 6: Final answer
    x = 13,432.38

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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.