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Finding the Fourth Proportional to 20,774.40, 31,143.06 and 9,078.36

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Solution

The fourth proportional to 20,774.40, 31,143.06 and 9,078.36 is: 13,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.40 : 31,143.06 = 9,078.36 : x
  2. Step 2: Convert to fraction form
    20,774.40/31,143.06 = 9,078.36/x
  3. Step 3: Cross multiply
    20,774.40x = 31,143.06 × 9,078.36
  4. Step 4: Simplify right side
    20,774.40x = 282,727,910.18
  5. Step 5: Solve for x
    x = 282,727,910.18/20,774.40
  6. Step 6: Final answer
    x = 13,609.44

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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.