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Finding the Fourth Proportional to 20,847.30, 31,270.95 and 10,456.62

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Solution

The fourth proportional to 20,847.30, 31,270.95 and 10,456.62 is: 15,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.30 : 31,270.95 = 10,456.62 : x
  2. Step 2: Convert to fraction form
    20,847.30/31,270.95 = 10,456.62/x
  3. Step 3: Cross multiply
    20,847.30x = 31,270.95 × 10,456.62
  4. Step 4: Simplify right side
    20,847.30x = 326,988,441.19
  5. Step 5: Solve for x
    x = 326,988,441.19/20,847.30
  6. Step 6: Final answer
    x = 15,684.93

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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.