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Finding the Fourth Proportional to 16,218.80, 22,385.32 and 9,508

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Solution

The fourth proportional to 16,218.80, 22,385.32 and 9,508 is: 13,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.80 : 22,385.32 = 9,508 : x
  2. Step 2: Convert to fraction form
    16,218.80/22,385.32 = 9,508/x
  3. Step 3: Cross multiply
    16,218.80x = 22,385.32 × 9,508
  4. Step 4: Simplify right side
    16,218.80x = 212,839,622.56
  5. Step 5: Solve for x
    x = 212,839,622.56/16,218.80
  6. Step 6: Final answer
    x = 13,123.02

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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.