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Finding the Fourth Proportional to 17,790.72, 24,552.46 and 9,832.78

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Solution

The fourth proportional to 17,790.72, 24,552.46 and 9,832.78 is: 13,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790.72 : 24,552.46 = 9,832.78 : x
  2. Step 2: Convert to fraction form
    17,790.72/24,552.46 = 9,832.78/x
  3. Step 3: Cross multiply
    17,790.72x = 24,552.46 × 9,832.78
  4. Step 4: Simplify right side
    17,790.72x = 241,418,937.64
  5. Step 5: Solve for x
    x = 241,418,937.64/17,790.72
  6. Step 6: Final answer
    x = 13,569.94

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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.