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Finding the Fourth Proportional to 16,611.78, 22,924.32 and 9,537.75

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Solution

The fourth proportional to 16,611.78, 22,924.32 and 9,537.75 is: 13,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,611.78 : 22,924.32 = 9,537.75 : x
  2. Step 2: Convert to fraction form
    16,611.78/22,924.32 = 9,537.75/x
  3. Step 3: Cross multiply
    16,611.78x = 22,924.32 × 9,537.75
  4. Step 4: Simplify right side
    16,611.78x = 218,646,397.31
  5. Step 5: Solve for x
    x = 218,646,397.31/16,611.78
  6. Step 6: Final answer
    x = 13,162.13

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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.