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Finding the Fourth Proportional to 13,734.05, 18,953.71 and 8,696.43

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Solution

The fourth proportional to 13,734.05, 18,953.71 and 8,696.43 is: 12,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.05 : 18,953.71 = 8,696.43 : x
  2. Step 2: Convert to fraction form
    13,734.05/18,953.71 = 8,696.43/x
  3. Step 3: Cross multiply
    13,734.05x = 18,953.71 × 8,696.43
  4. Step 4: Simplify right side
    13,734.05x = 164,829,612.26
  5. Step 5: Solve for x
    x = 164,829,612.26/13,734.05
  6. Step 6: Final answer
    x = 12,001.53

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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.