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Finding the Fourth Proportional to 20,465.96, 30,697.68 and 7,317.68

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Solution

The fourth proportional to 20,465.96, 30,697.68 and 7,317.68 is: 10,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.96 : 30,697.68 = 7,317.68 : x
  2. Step 2: Convert to fraction form
    20,465.96/30,697.68 = 7,317.68/x
  3. Step 3: Cross multiply
    20,465.96x = 30,697.68 × 7,317.68
  4. Step 4: Simplify right side
    20,465.96x = 224,635,798.98
  5. Step 5: Solve for x
    x = 224,635,798.98/20,465.96
  6. Step 6: Final answer
    x = 10,976.07

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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.