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Finding the Fourth Proportional to 16,871.52, 23,282.82 and 9,317.64

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Solution

The fourth proportional to 16,871.52, 23,282.82 and 9,317.64 is: 12,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.52 : 23,282.82 = 9,317.64 : x
  2. Step 2: Convert to fraction form
    16,871.52/23,282.82 = 9,317.64/x
  3. Step 3: Cross multiply
    16,871.52x = 23,282.82 × 9,317.64
  4. Step 4: Simplify right side
    16,871.52x = 216,940,934.94
  5. Step 5: Solve for x
    x = 216,940,934.94/16,871.52
  6. Step 6: Final answer
    x = 12,858.41

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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.