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Finding the Fourth Proportional to 17,794.42, 24,557.36 and 9,836.46

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Solution

The fourth proportional to 17,794.42, 24,557.36 and 9,836.46 is: 13,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.42 : 24,557.36 = 9,836.46 : x
  2. Step 2: Convert to fraction form
    17,794.42/24,557.36 = 9,836.46/x
  3. Step 3: Cross multiply
    17,794.42x = 24,557.36 × 9,836.46
  4. Step 4: Simplify right side
    17,794.42x = 241,557,440.16
  5. Step 5: Solve for x
    x = 241,557,440.16/17,794.42
  6. Step 6: Final answer
    x = 13,574.90

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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.