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Finding the Fourth Proportional to 13,734.81, 18,953.94 and 7,685.04

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Solution

The fourth proportional to 13,734.81, 18,953.94 and 7,685.04 is: 10,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.81 : 18,953.94 = 7,685.04 : x
  2. Step 2: Convert to fraction form
    13,734.81/18,953.94 = 7,685.04/x
  3. Step 3: Cross multiply
    13,734.81x = 18,953.94 × 7,685.04
  4. Step 4: Simplify right side
    13,734.81x = 145,661,787.06
  5. Step 5: Solve for x
    x = 145,661,787.06/13,734.81
  6. Step 6: Final answer
    x = 10,605.30

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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.