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Finding the Fourth Proportional to 16,788.90, 23,166.86 and 9,714

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Solution

The fourth proportional to 16,788.90, 23,166.86 and 9,714 is: 13,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,788.90 : 23,166.86 = 9,714 : x
  2. Step 2: Convert to fraction form
    16,788.90/23,166.86 = 9,714/x
  3. Step 3: Cross multiply
    16,788.90x = 23,166.86 × 9,714
  4. Step 4: Simplify right side
    16,788.90x = 225,042,902.33
  5. Step 5: Solve for x
    x = 225,042,902.33/16,788.90
  6. Step 6: Final answer
    x = 13,404.27

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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.