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Finding the Fourth Proportional to 13,734.60, 18,953.53 and 7,766.07

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Solution

The fourth proportional to 13,734.60, 18,953.53 and 7,766.07 is: 10,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.60 : 18,953.53 = 7,766.07 : x
  2. Step 2: Convert to fraction form
    13,734.60/18,953.53 = 7,766.07/x
  3. Step 3: Cross multiply
    13,734.60x = 18,953.53 × 7,766.07
  4. Step 4: Simplify right side
    13,734.60x = 147,194,440.73
  5. Step 5: Solve for x
    x = 147,194,440.73/13,734.60
  6. Step 6: Final answer
    x = 10,717.05

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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.