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Finding the Fourth Proportional to 13,757.69, 20,607.96 and 6,716.45

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Solution

The fourth proportional to 13,757.69, 20,607.96 and 6,716.45 is: 10,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.69 : 20,607.96 = 6,716.45 : x
  2. Step 2: Convert to fraction form
    13,757.69/20,607.96 = 6,716.45/x
  3. Step 3: Cross multiply
    13,757.69x = 20,607.96 × 6,716.45
  4. Step 4: Simplify right side
    13,757.69x = 138,412,332.94
  5. Step 5: Solve for x
    x = 138,412,332.94/13,757.69
  6. Step 6: Final answer
    x = 10,060.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.