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Finding the Fourth Proportional to 16,229.30, 22,400.46 and 9,159.80

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Solution

The fourth proportional to 16,229.30, 22,400.46 and 9,159.80 is: 12,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.30 : 22,400.46 = 9,159.80 : x
  2. Step 2: Convert to fraction form
    16,229.30/22,400.46 = 9,159.80/x
  3. Step 3: Cross multiply
    16,229.30x = 22,400.46 × 9,159.80
  4. Step 4: Simplify right side
    16,229.30x = 205,183,621.51
  5. Step 5: Solve for x
    x = 205,183,621.51/16,229.30
  6. Step 6: Final answer
    x = 12,642.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.