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Finding the Fourth Proportional to 14,716.67, 20,308.76 and 8,002.46

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Solution

The fourth proportional to 14,716.67, 20,308.76 and 8,002.46 is: 11,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.67 : 20,308.76 = 8,002.46 : x
  2. Step 2: Convert to fraction form
    14,716.67/20,308.76 = 8,002.46/x
  3. Step 3: Cross multiply
    14,716.67x = 20,308.76 × 8,002.46
  4. Step 4: Simplify right side
    14,716.67x = 162,520,110.33
  5. Step 5: Solve for x
    x = 162,520,110.33/14,716.67
  6. Step 6: Final answer
    x = 11,043.26

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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.