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Finding the Fourth Proportional to 20,731.64, 31,098.54 and 5,939.15

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Solution

The fourth proportional to 20,731.64, 31,098.54 and 5,939.15 is: 8,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.64 : 31,098.54 = 5,939.15 : x
  2. Step 2: Convert to fraction form
    20,731.64/31,098.54 = 5,939.15/x
  3. Step 3: Cross multiply
    20,731.64x = 31,098.54 × 5,939.15
  4. Step 4: Simplify right side
    20,731.64x = 184,698,893.84
  5. Step 5: Solve for x
    x = 184,698,893.84/20,731.64
  6. Step 6: Final answer
    x = 8,909.03

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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.