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Finding the Fourth Proportional to 14,716.69, 20,309.74 and 8,429.06

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Solution

The fourth proportional to 14,716.69, 20,309.74 and 8,429.06 is: 11,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.69 : 20,309.74 = 8,429.06 : x
  2. Step 2: Convert to fraction form
    14,716.69/20,309.74 = 8,429.06/x
  3. Step 3: Cross multiply
    14,716.69x = 20,309.74 × 8,429.06
  4. Step 4: Simplify right side
    14,716.69x = 171,192,046.75
  5. Step 5: Solve for x
    x = 171,192,046.75/14,716.69
  6. Step 6: Final answer
    x = 11,632.51

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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.