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Finding the Fourth Proportional to 16,714.25, 23,065.52 and 9,161.00

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Solution

The fourth proportional to 16,714.25, 23,065.52 and 9,161.00 is: 12,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.25 : 23,065.52 = 9,161.00 : x
  2. Step 2: Convert to fraction form
    16,714.25/23,065.52 = 9,161.00/x
  3. Step 3: Cross multiply
    16,714.25x = 23,065.52 × 9,161.00
  4. Step 4: Simplify right side
    16,714.25x = 211,303,067.59
  5. Step 5: Solve for x
    x = 211,303,067.59/16,714.25
  6. Step 6: Final answer
    x = 12,642.09

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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.