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Finding the Fourth Proportional to 23,862.28, 32,930.94 and 13,252

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Solution

The fourth proportional to 23,862.28, 32,930.94 and 13,252 is: 18,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.28 : 32,930.94 = 13,252 : x
  2. Step 2: Convert to fraction form
    23,862.28/32,930.94 = 13,252/x
  3. Step 3: Cross multiply
    23,862.28x = 32,930.94 × 13,252
  4. Step 4: Simplify right side
    23,862.28x = 436,400,816.88
  5. Step 5: Solve for x
    x = 436,400,816.88/23,862.28
  6. Step 6: Final answer
    x = 18,288.31

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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.