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Finding the Fourth Proportional to 14,668.80, 20,236.59 and 9,817.71

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Solution

The fourth proportional to 14,668.80, 20,236.59 and 9,817.71 is: 13,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.80 : 20,236.59 = 9,817.71 : x
  2. Step 2: Convert to fraction form
    14,668.80/20,236.59 = 9,817.71/x
  3. Step 3: Cross multiply
    14,668.80x = 20,236.59 × 9,817.71
  4. Step 4: Simplify right side
    14,668.80x = 198,676,972.01
  5. Step 5: Solve for x
    x = 198,676,972.01/14,668.80
  6. Step 6: Final answer
    x = 13,544.19

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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.