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Finding the Fourth Proportional to 17,935.92, 24,751.20 and 9,977.76

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Solution

The fourth proportional to 17,935.92, 24,751.20 and 9,977.76 is: 13,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935.92 : 24,751.20 = 9,977.76 : x
  2. Step 2: Convert to fraction form
    17,935.92/24,751.20 = 9,977.76/x
  3. Step 3: Cross multiply
    17,935.92x = 24,751.20 × 9,977.76
  4. Step 4: Simplify right side
    17,935.92x = 246,961,533.31
  5. Step 5: Solve for x
    x = 246,961,533.31/17,935.92
  6. Step 6: Final answer
    x = 13,769.10

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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.