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Finding the Fourth Proportional to 17,790.78, 24,552.56 and 9,832.84

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Solution

The fourth proportional to 17,790.78, 24,552.56 and 9,832.84 is: 13,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790.78 : 24,552.56 = 9,832.84 : x
  2. Step 2: Convert to fraction form
    17,790.78/24,552.56 = 9,832.84/x
  3. Step 3: Cross multiply
    17,790.78x = 24,552.56 × 9,832.84
  4. Step 4: Simplify right side
    17,790.78x = 241,421,283.52
  5. Step 5: Solve for x
    x = 241,421,283.52/17,790.78
  6. Step 6: Final answer
    x = 13,570.02

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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.