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Finding the Fourth Proportional to 20,605.46, 30,894.52 and 7,456.12

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Solution

The fourth proportional to 20,605.46, 30,894.52 and 7,456.12 is: 11,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.46 : 30,894.52 = 7,456.12 : x
  2. Step 2: Convert to fraction form
    20,605.46/30,894.52 = 7,456.12/x
  3. Step 3: Cross multiply
    20,605.46x = 30,894.52 × 7,456.12
  4. Step 4: Simplify right side
    20,605.46x = 230,353,248.46
  5. Step 5: Solve for x
    x = 230,353,248.46/20,605.46
  6. Step 6: Final answer
    x = 11,179.23

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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.