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Finding the Fourth Proportional to 14,066.68, 19,410.90 and 7,778.56

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Solution

The fourth proportional to 14,066.68, 19,410.90 and 7,778.56 is: 10,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.68 : 19,410.90 = 7,778.56 : x
  2. Step 2: Convert to fraction form
    14,066.68/19,410.90 = 7,778.56/x
  3. Step 3: Cross multiply
    14,066.68x = 19,410.90 × 7,778.56
  4. Step 4: Simplify right side
    14,066.68x = 150,988,850.30
  5. Step 5: Solve for x
    x = 150,988,850.30/14,066.68
  6. Step 6: Final answer
    x = 10,733.79

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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.