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Finding the Fourth Proportional to 31,402.72, 43,336.72 and 17,256

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Solution

The fourth proportional to 31,402.72, 43,336.72 and 17,256 is: 23,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.72 : 43,336.72 = 17,256 : x
  2. Step 2: Convert to fraction form
    31,402.72/43,336.72 = 17,256/x
  3. Step 3: Cross multiply
    31,402.72x = 43,336.72 × 17,256
  4. Step 4: Simplify right side
    31,402.72x = 747,818,440.32
  5. Step 5: Solve for x
    x = 747,818,440.32/31,402.72
  6. Step 6: Final answer
    x = 23,813.81

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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.