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Finding the Fourth Proportional to 14,716.92, 20,309.45 and 8,002.62

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Solution

The fourth proportional to 14,716.92, 20,309.45 and 8,002.62 is: 11,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.92 : 20,309.45 = 8,002.62 : x
  2. Step 2: Convert to fraction form
    14,716.92/20,309.45 = 8,002.62/x
  3. Step 3: Cross multiply
    14,716.92x = 20,309.45 × 8,002.62
  4. Step 4: Simplify right side
    14,716.92x = 162,528,810.76
  5. Step 5: Solve for x
    x = 162,528,810.76/14,716.92
  6. Step 6: Final answer
    x = 11,043.67

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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.