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Finding the Fourth Proportional to 23,371.72, 32,236.94 and 13,933

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Solution

The fourth proportional to 23,371.72, 32,236.94 and 13,933 is: 19,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,371.72 : 32,236.94 = 13,933 : x
  2. Step 2: Convert to fraction form
    23,371.72/32,236.94 = 13,933/x
  3. Step 3: Cross multiply
    23,371.72x = 32,236.94 × 13,933
  4. Step 4: Simplify right side
    23,371.72x = 449,157,285.02
  5. Step 5: Solve for x
    x = 449,157,285.02/23,371.72
  6. Step 6: Final answer
    x = 19,217.98

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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.