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Finding the Fourth Proportional to 16,474.86, 22,733.82 and 9,759.42

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Solution

The fourth proportional to 16,474.86, 22,733.82 and 9,759.42 is: 13,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.86 : 22,733.82 = 9,759.42 : x
  2. Step 2: Convert to fraction form
    16,474.86/22,733.82 = 9,759.42/x
  3. Step 3: Cross multiply
    16,474.86x = 22,733.82 × 9,759.42
  4. Step 4: Simplify right side
    16,474.86x = 221,868,897.58
  5. Step 5: Solve for x
    x = 221,868,897.58/16,474.86
  6. Step 6: Final answer
    x = 13,467.12

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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.