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Finding the Fourth Proportional to 14,806.68, 20,430.90 and 8,517.84

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Solution

The fourth proportional to 14,806.68, 20,430.90 and 8,517.84 is: 11,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.68 : 20,430.90 = 8,517.84 : x
  2. Step 2: Convert to fraction form
    14,806.68/20,430.90 = 8,517.84/x
  3. Step 3: Cross multiply
    14,806.68x = 20,430.90 × 8,517.84
  4. Step 4: Simplify right side
    14,806.68x = 174,027,137.26
  5. Step 5: Solve for x
    x = 174,027,137.26/14,806.68
  6. Step 6: Final answer
    x = 11,753.29

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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.