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Finding the Fourth Proportional to 16,772.62, 23,145.71 and 9,602.30

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Solution

The fourth proportional to 16,772.62, 23,145.71 and 9,602.30 is: 13,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772.62 : 23,145.71 = 9,602.30 : x
  2. Step 2: Convert to fraction form
    16,772.62/23,145.71 = 9,602.30/x
  3. Step 3: Cross multiply
    16,772.62x = 23,145.71 × 9,602.30
  4. Step 4: Simplify right side
    16,772.62x = 222,251,959.41
  5. Step 5: Solve for x
    x = 222,251,959.41/16,772.62
  6. Step 6: Final answer
    x = 13,250.88

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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.