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Finding the Fourth Proportional to 16,104.18, 22,224.00 and 9,729.88

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Solution

The fourth proportional to 16,104.18, 22,224.00 and 9,729.88 is: 13,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.18 : 22,224.00 = 9,729.88 : x
  2. Step 2: Convert to fraction form
    16,104.18/22,224.00 = 9,729.88/x
  3. Step 3: Cross multiply
    16,104.18x = 22,224.00 × 9,729.88
  4. Step 4: Simplify right side
    16,104.18x = 216,236,804.47
  5. Step 5: Solve for x
    x = 216,236,804.47/16,104.18
  6. Step 6: Final answer
    x = 13,427.38

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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.