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Finding the Fourth Proportional to 31,716.96, 47,575.44 and 13,236

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Solution

The fourth proportional to 31,716.96, 47,575.44 and 13,236 is: 19,854

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.96 : 47,575.44 = 13,236 : x
  2. Step 2: Convert to fraction form
    31,716.96/47,575.44 = 13,236/x
  3. Step 3: Cross multiply
    31,716.96x = 47,575.44 × 13,236
  4. Step 4: Simplify right side
    31,716.96x = 629,708,523.84
  5. Step 5: Solve for x
    x = 629,708,523.84/31,716.96
  6. Step 6: Final answer
    x = 19,854

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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.