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Finding the Fourth Proportional to 17,935.64, 24,751.32 and 9,977.96

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Solution

The fourth proportional to 17,935.64, 24,751.32 and 9,977.96 is: 13,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935.64 : 24,751.32 = 9,977.96 : x
  2. Step 2: Convert to fraction form
    17,935.64/24,751.32 = 9,977.96/x
  3. Step 3: Cross multiply
    17,935.64x = 24,751.32 × 9,977.96
  4. Step 4: Simplify right side
    17,935.64x = 246,967,680.91
  5. Step 5: Solve for x
    x = 246,967,680.91/17,935.64
  6. Step 6: Final answer
    x = 13,769.66

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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.