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Finding the Fourth Proportional to 23,696.87, 32,701.52 and 13,086.47

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Solution

The fourth proportional to 23,696.87, 32,701.52 and 13,086.47 is: 18,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.87 : 32,701.52 = 13,086.47 : x
  2. Step 2: Convert to fraction form
    23,696.87/32,701.52 = 13,086.47/x
  3. Step 3: Cross multiply
    23,696.87x = 32,701.52 × 13,086.47
  4. Step 4: Simplify right side
    23,696.87x = 427,947,574.90
  5. Step 5: Solve for x
    x = 427,947,574.90/23,696.87
  6. Step 6: Final answer
    x = 18,059.25

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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.