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Finding the Fourth Proportional to 15,716.80, 21,679.70 and 9,668.08

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Solution

The fourth proportional to 15,716.80, 21,679.70 and 9,668.08 is: 13,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.80 : 21,679.70 = 9,668.08 : x
  2. Step 2: Convert to fraction form
    15,716.80/21,679.70 = 9,668.08/x
  3. Step 3: Cross multiply
    15,716.80x = 21,679.70 × 9,668.08
  4. Step 4: Simplify right side
    15,716.80x = 209,601,073.98
  5. Step 5: Solve for x
    x = 209,601,073.98/15,716.80
  6. Step 6: Final answer
    x = 13,336.12

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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.