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Finding the Fourth Proportional to 14,762.82, 20,379.70 and 9,727.46

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Solution

The fourth proportional to 14,762.82, 20,379.70 and 9,727.46 is: 13,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.82 : 20,379.70 = 9,727.46 : x
  2. Step 2: Convert to fraction form
    14,762.82/20,379.70 = 9,727.46/x
  3. Step 3: Cross multiply
    14,762.82x = 20,379.70 × 9,727.46
  4. Step 4: Simplify right side
    14,762.82x = 198,242,716.56
  5. Step 5: Solve for x
    x = 198,242,716.56/14,762.82
  6. Step 6: Final answer
    x = 13,428.51

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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.