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Finding the Fourth Proportional to 20,501.82, 30,743.01 and 10,631.22

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Solution

The fourth proportional to 20,501.82, 30,743.01 and 10,631.22 is: 15,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.82 : 30,743.01 = 10,631.22 : x
  2. Step 2: Convert to fraction form
    20,501.82/30,743.01 = 10,631.22/x
  3. Step 3: Cross multiply
    20,501.82x = 30,743.01 × 10,631.22
  4. Step 4: Simplify right side
    20,501.82x = 326,835,702.77
  5. Step 5: Solve for x
    x = 326,835,702.77/20,501.82
  6. Step 6: Final answer
    x = 15,941.79

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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.