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Finding the Fourth Proportional to 20,703.67, 31,050.16 and 9,599.47

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Solution

The fourth proportional to 20,703.67, 31,050.16 and 9,599.47 is: 14,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.67 : 31,050.16 = 9,599.47 : x
  2. Step 2: Convert to fraction form
    20,703.67/31,050.16 = 9,599.47/x
  3. Step 3: Cross multiply
    20,703.67x = 31,050.16 × 9,599.47
  4. Step 4: Simplify right side
    20,703.67x = 298,065,079.42
  5. Step 5: Solve for x
    x = 298,065,079.42/20,703.67
  6. Step 6: Final answer
    x = 14,396.73

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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.