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Finding the Fourth Proportional to 20,584.50, 30,876.75 and 5,002.17

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Solution

The fourth proportional to 20,584.50, 30,876.75 and 5,002.17 is: 7,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.50 : 30,876.75 = 5,002.17 : x
  2. Step 2: Convert to fraction form
    20,584.50/30,876.75 = 5,002.17/x
  3. Step 3: Cross multiply
    20,584.50x = 30,876.75 × 5,002.17
  4. Step 4: Simplify right side
    20,584.50x = 154,450,752.55
  5. Step 5: Solve for x
    x = 154,450,752.55/20,584.50
  6. Step 6: Final answer
    x = 7,503.26

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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.