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Finding the Fourth Proportional to 31,464.76, 43,419.72 and 17,314.87

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Solution

The fourth proportional to 31,464.76, 43,419.72 and 17,314.87 is: 23,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.76 : 43,419.72 = 17,314.87 : x
  2. Step 2: Convert to fraction form
    31,464.76/43,419.72 = 17,314.87/x
  3. Step 3: Cross multiply
    31,464.76x = 43,419.72 × 17,314.87
  4. Step 4: Simplify right side
    31,464.76x = 751,806,807.24
  5. Step 5: Solve for x
    x = 751,806,807.24/31,464.76
  6. Step 6: Final answer
    x = 23,893.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.