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Finding the Fourth Proportional to 17,871.73, 26,816.63 and 8,510

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Solution

The fourth proportional to 17,871.73, 26,816.63 and 8,510 is: 12,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.73 : 26,816.63 = 8,510 : x
  2. Step 2: Convert to fraction form
    17,871.73/26,816.63 = 8,510/x
  3. Step 3: Cross multiply
    17,871.73x = 26,816.63 × 8,510
  4. Step 4: Simplify right side
    17,871.73x = 228,209,521.30
  5. Step 5: Solve for x
    x = 228,209,521.30/17,871.73
  6. Step 6: Final answer
    x = 12,769.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.