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Finding the Fourth Proportional to 20,364.64, 30,538.30 and 9,278.37

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Solution

The fourth proportional to 20,364.64, 30,538.30 and 9,278.37 is: 13,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.64 : 30,538.30 = 9,278.37 : x
  2. Step 2: Convert to fraction form
    20,364.64/30,538.30 = 9,278.37/x
  3. Step 3: Cross multiply
    20,364.64x = 30,538.30 × 9,278.37
  4. Step 4: Simplify right side
    20,364.64x = 283,345,707.09
  5. Step 5: Solve for x
    x = 283,345,707.09/20,364.64
  6. Step 6: Final answer
    x = 13,913.61

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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.