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Finding the Fourth Proportional to 20,790.98, 31,198.76 and 7,652.57

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Solution

The fourth proportional to 20,790.98, 31,198.76 and 7,652.57 is: 11,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,790.98 : 31,198.76 = 7,652.57 : x
  2. Step 2: Convert to fraction form
    20,790.98/31,198.76 = 7,652.57/x
  3. Step 3: Cross multiply
    20,790.98x = 31,198.76 × 7,652.57
  4. Step 4: Simplify right side
    20,790.98x = 238,750,694.81
  5. Step 5: Solve for x
    x = 238,750,694.81/20,790.98
  6. Step 6: Final answer
    x = 11,483.38

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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.