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Finding the Fourth Proportional to 23,429.87, 32,322.94 and 13,734.41

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Solution

The fourth proportional to 23,429.87, 32,322.94 and 13,734.41 is: 18,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429.87 : 32,322.94 = 13,734.41 : x
  2. Step 2: Convert to fraction form
    23,429.87/32,322.94 = 13,734.41/x
  3. Step 3: Cross multiply
    23,429.87x = 32,322.94 × 13,734.41
  4. Step 4: Simplify right side
    23,429.87x = 443,936,463.89
  5. Step 5: Solve for x
    x = 443,936,463.89/23,429.87
  6. Step 6: Final answer
    x = 18,947.46

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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.