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Finding the Fourth Proportional to 13,734.68, 18,953.10 and 7,766.01

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Solution

The fourth proportional to 13,734.68, 18,953.10 and 7,766.01 is: 10,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.68 : 18,953.10 = 7,766.01 : x
  2. Step 2: Convert to fraction form
    13,734.68/18,953.10 = 7,766.01/x
  3. Step 3: Cross multiply
    13,734.68x = 18,953.10 × 7,766.01
  4. Step 4: Simplify right side
    13,734.68x = 147,189,964.13
  5. Step 5: Solve for x
    x = 147,189,964.13/13,734.68
  6. Step 6: Final answer
    x = 10,716.67

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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.