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Finding the Fourth Proportional to 17,533.40, 24,198.17 and 9,981.54

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Solution

The fourth proportional to 17,533.40, 24,198.17 and 9,981.54 is: 13,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.40 : 24,198.17 = 9,981.54 : x
  2. Step 2: Convert to fraction form
    17,533.40/24,198.17 = 9,981.54/x
  3. Step 3: Cross multiply
    17,533.40x = 24,198.17 × 9,981.54
  4. Step 4: Simplify right side
    17,533.40x = 241,534,951.87
  5. Step 5: Solve for x
    x = 241,534,951.87/17,533.40
  6. Step 6: Final answer
    x = 13,775.71

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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.