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Finding the Fourth Proportional to 20,166.86, 30,256.44 and 10,313.06

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Solution

The fourth proportional to 20,166.86, 30,256.44 and 10,313.06 is: 15,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.86 : 30,256.44 = 10,313.06 : x
  2. Step 2: Convert to fraction form
    20,166.86/30,256.44 = 10,313.06/x
  3. Step 3: Cross multiply
    20,166.86x = 30,256.44 × 10,313.06
  4. Step 4: Simplify right side
    20,166.86x = 312,036,278.26
  5. Step 5: Solve for x
    x = 312,036,278.26/20,166.86
  6. Step 6: Final answer
    x = 15,472.73

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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.