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Finding the Fourth Proportional to 14,716.08, 20,308.73 and 8,429.67

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Solution

The fourth proportional to 14,716.08, 20,308.73 and 8,429.67 is: 11,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.08 : 20,308.73 = 8,429.67 : x
  2. Step 2: Convert to fraction form
    14,716.08/20,308.73 = 8,429.67/x
  3. Step 3: Cross multiply
    14,716.08x = 20,308.73 × 8,429.67
  4. Step 4: Simplify right side
    14,716.08x = 171,195,849.87
  5. Step 5: Solve for x
    x = 171,195,849.87/14,716.08
  6. Step 6: Final answer
    x = 11,633.25

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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.