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Finding the Fourth Proportional to 21,668.25, 32,502.17 and 11,677.70

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Solution

The fourth proportional to 21,668.25, 32,502.17 and 11,677.70 is: 17,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,668.25 : 32,502.17 = 11,677.70 : x
  2. Step 2: Convert to fraction form
    21,668.25/32,502.17 = 11,677.70/x
  3. Step 3: Cross multiply
    21,668.25x = 32,502.17 × 11,677.70
  4. Step 4: Simplify right side
    21,668.25x = 379,550,701.06
  5. Step 5: Solve for x
    x = 379,550,701.06/21,668.25
  6. Step 6: Final answer
    x = 17,516.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.