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Finding the Fourth Proportional to 16,110, 22,231.86 and 9,400.26

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Solution

The fourth proportional to 16,110, 22,231.86 and 9,400.26 is: 12,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,110 : 22,231.86 = 9,400.26 : x
  2. Step 2: Convert to fraction form
    16,110/22,231.86 = 9,400.26/x
  3. Step 3: Cross multiply
    16,110x = 22,231.86 × 9,400.26
  4. Step 4: Simplify right side
    16,110x = 208,985,264.28
  5. Step 5: Solve for x
    x = 208,985,264.28/16,110
  6. Step 6: Final answer
    x = 12,972.39

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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.