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Finding the Fourth Proportional to 31,400.72, 43,333.96 and 17,254

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Solution

The fourth proportional to 31,400.72, 43,333.96 and 17,254 is: 23,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.72 : 43,333.96 = 17,254 : x
  2. Step 2: Convert to fraction form
    31,400.72/43,333.96 = 17,254/x
  3. Step 3: Cross multiply
    31,400.72x = 43,333.96 × 17,254
  4. Step 4: Simplify right side
    31,400.72x = 747,684,145.84
  5. Step 5: Solve for x
    x = 747,684,145.84/31,400.72
  6. Step 6: Final answer
    x = 23,811.05

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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.