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Finding the Fourth Proportional to 20,359.74, 30,538.16 and 6,319.43

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Solution

The fourth proportional to 20,359.74, 30,538.16 and 6,319.43 is: 9,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,359.74 : 30,538.16 = 6,319.43 : x
  2. Step 2: Convert to fraction form
    20,359.74/30,538.16 = 6,319.43/x
  3. Step 3: Cross multiply
    20,359.74x = 30,538.16 × 6,319.43
  4. Step 4: Simplify right side
    20,359.74x = 192,983,580.16
  5. Step 5: Solve for x
    x = 192,983,580.16/20,359.74
  6. Step 6: Final answer
    x = 9,478.69

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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.