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Finding the Fourth Proportional to 16,538.40, 22,816.54 and 9,366.66

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Solution

The fourth proportional to 16,538.40, 22,816.54 and 9,366.66 is: 12,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.40 : 22,816.54 = 9,366.66 : x
  2. Step 2: Convert to fraction form
    16,538.40/22,816.54 = 9,366.66/x
  3. Step 3: Cross multiply
    16,538.40x = 22,816.54 × 9,366.66
  4. Step 4: Simplify right side
    16,538.40x = 213,714,772.56
  5. Step 5: Solve for x
    x = 213,714,772.56/16,538.40
  6. Step 6: Final answer
    x = 12,922.34

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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.