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Finding the Fourth Proportional to 20,955.38, 31,437.78 and 6,165.50

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Solution

The fourth proportional to 20,955.38, 31,437.78 and 6,165.50 is: 9,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,955.38 : 31,437.78 = 6,165.50 : x
  2. Step 2: Convert to fraction form
    20,955.38/31,437.78 = 6,165.50/x
  3. Step 3: Cross multiply
    20,955.38x = 31,437.78 × 6,165.50
  4. Step 4: Simplify right side
    20,955.38x = 193,829,632.59
  5. Step 5: Solve for x
    x = 193,829,632.59/20,955.38
  6. Step 6: Final answer
    x = 9,249.64

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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.