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Finding the Fourth Proportional to 20,703.42, 31,049.79 and 9,599.22

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Solution

The fourth proportional to 20,703.42, 31,049.79 and 9,599.22 is: 14,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.42 : 31,049.79 = 9,599.22 : x
  2. Step 2: Convert to fraction form
    20,703.42/31,049.79 = 9,599.22/x
  3. Step 3: Cross multiply
    20,703.42x = 31,049.79 × 9,599.22
  4. Step 4: Simplify right side
    20,703.42x = 298,053,765.16
  5. Step 5: Solve for x
    x = 298,053,765.16/20,703.42
  6. Step 6: Final answer
    x = 14,396.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.