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Finding the Fourth Proportional to 16,424.18, 22,669.42 and 9,354.78

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Solution

The fourth proportional to 16,424.18, 22,669.42 and 9,354.78 is: 12,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.18 : 22,669.42 = 9,354.78 : x
  2. Step 2: Convert to fraction form
    16,424.18/22,669.42 = 9,354.78/x
  3. Step 3: Cross multiply
    16,424.18x = 22,669.42 × 9,354.78
  4. Step 4: Simplify right side
    16,424.18x = 212,067,436.83
  5. Step 5: Solve for x
    x = 212,067,436.83/16,424.18
  6. Step 6: Final answer
    x = 12,911.90

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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.