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Finding the Fourth Proportional to 14,131.53, 19,500.84 and 7,757.97

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Solution

The fourth proportional to 14,131.53, 19,500.84 and 7,757.97 is: 10,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.53 : 19,500.84 = 7,757.97 : x
  2. Step 2: Convert to fraction form
    14,131.53/19,500.84 = 7,757.97/x
  3. Step 3: Cross multiply
    14,131.53x = 19,500.84 × 7,757.97
  4. Step 4: Simplify right side
    14,131.53x = 151,286,931.69
  5. Step 5: Solve for x
    x = 151,286,931.69/14,131.53
  6. Step 6: Final answer
    x = 10,705.63

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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.