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Finding the Fourth Proportional to 16,011.91, 22,104.80 and 9,726.31

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Solution

The fourth proportional to 16,011.91, 22,104.80 and 9,726.31 is: 13,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.91 : 22,104.80 = 9,726.31 : x
  2. Step 2: Convert to fraction form
    16,011.91/22,104.80 = 9,726.31/x
  3. Step 3: Cross multiply
    16,011.91x = 22,104.80 × 9,726.31
  4. Step 4: Simplify right side
    16,011.91x = 214,998,137.29
  5. Step 5: Solve for x
    x = 214,998,137.29/16,011.91
  6. Step 6: Final answer
    x = 13,427.39

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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.