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Finding the Fourth Proportional to 16,359.96, 22,577.34 and 9,286.20

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Solution

The fourth proportional to 16,359.96, 22,577.34 and 9,286.20 is: 12,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359.96 : 22,577.34 = 9,286.20 : x
  2. Step 2: Convert to fraction form
    16,359.96/22,577.34 = 9,286.20/x
  3. Step 3: Cross multiply
    16,359.96x = 22,577.34 × 9,286.20
  4. Step 4: Simplify right side
    16,359.96x = 209,657,694.71
  5. Step 5: Solve for x
    x = 209,657,694.71/16,359.96
  6. Step 6: Final answer
    x = 12,815.29

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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.