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Finding the Fourth Proportional to 17,935.92, 24,750.36 and 9,977.60

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Solution

The fourth proportional to 17,935.92, 24,750.36 and 9,977.60 is: 13,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935.92 : 24,750.36 = 9,977.60 : x
  2. Step 2: Convert to fraction form
    17,935.92/24,750.36 = 9,977.60/x
  3. Step 3: Cross multiply
    17,935.92x = 24,750.36 × 9,977.60
  4. Step 4: Simplify right side
    17,935.92x = 246,949,191.94
  5. Step 5: Solve for x
    x = 246,949,191.94/17,935.92
  6. Step 6: Final answer
    x = 13,768.42

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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.