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Finding the Fourth Proportional to 17,983.20, 26,974.80 and 9,688.80

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Solution

The fourth proportional to 17,983.20, 26,974.80 and 9,688.80 is: 14,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,983.20 : 26,974.80 = 9,688.80 : x
  2. Step 2: Convert to fraction form
    17,983.20/26,974.80 = 9,688.80/x
  3. Step 3: Cross multiply
    17,983.20x = 26,974.80 × 9,688.80
  4. Step 4: Simplify right side
    17,983.20x = 261,353,442.24
  5. Step 5: Solve for x
    x = 261,353,442.24/17,983.20
  6. Step 6: Final answer
    x = 14,533.20

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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.