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Finding the Fourth Proportional to 17,734.64, 24,473.97 and 9,777.15

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Solution

The fourth proportional to 17,734.64, 24,473.97 and 9,777.15 is: 13,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.64 : 24,473.97 = 9,777.15 : x
  2. Step 2: Convert to fraction form
    17,734.64/24,473.97 = 9,777.15/x
  3. Step 3: Cross multiply
    17,734.64x = 24,473.97 × 9,777.15
  4. Step 4: Simplify right side
    17,734.64x = 239,285,606.95
  5. Step 5: Solve for x
    x = 239,285,606.95/17,734.64
  6. Step 6: Final answer
    x = 13,492.56

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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.