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Finding the Fourth Proportional to 17,743.19, 24,485.22 and 9,785.34

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Solution

The fourth proportional to 17,743.19, 24,485.22 and 9,785.34 is: 13,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.19 : 24,485.22 = 9,785.34 : x
  2. Step 2: Convert to fraction form
    17,743.19/24,485.22 = 9,785.34/x
  3. Step 3: Cross multiply
    17,743.19x = 24,485.22 × 9,785.34
  4. Step 4: Simplify right side
    17,743.19x = 239,596,202.67
  5. Step 5: Solve for x
    x = 239,596,202.67/17,743.19
  6. Step 6: Final answer
    x = 13,503.56

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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.