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Finding the Fourth Proportional to 17,734.92, 24,475.64 and 9,778

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Solution

The fourth proportional to 17,734.92, 24,475.64 and 9,778 is: 13,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.92 : 24,475.64 = 9,778 : x
  2. Step 2: Convert to fraction form
    17,734.92/24,475.64 = 9,778/x
  3. Step 3: Cross multiply
    17,734.92x = 24,475.64 × 9,778
  4. Step 4: Simplify right side
    17,734.92x = 239,322,807.92
  5. Step 5: Solve for x
    x = 239,322,807.92/17,734.92
  6. Step 6: Final answer
    x = 13,494.44

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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.