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Finding the Fourth Proportional to 20,217.63, 30,325.04 and 7,564.98

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Solution

The fourth proportional to 20,217.63, 30,325.04 and 7,564.98 is: 11,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.63 : 30,325.04 = 7,564.98 : x
  2. Step 2: Convert to fraction form
    20,217.63/30,325.04 = 7,564.98/x
  3. Step 3: Cross multiply
    20,217.63x = 30,325.04 × 7,564.98
  4. Step 4: Simplify right side
    20,217.63x = 229,408,283.27
  5. Step 5: Solve for x
    x = 229,408,283.27/20,217.63
  6. Step 6: Final answer
    x = 11,346.94

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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.