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Finding the Fourth Proportional to 21,782.43, 32,706.45 and 12,433.01

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Solution

The fourth proportional to 21,782.43, 32,706.45 and 12,433.01 is: 18,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.43 : 32,706.45 = 12,433.01 : x
  2. Step 2: Convert to fraction form
    21,782.43/32,706.45 = 12,433.01/x
  3. Step 3: Cross multiply
    21,782.43x = 32,706.45 × 12,433.01
  4. Step 4: Simplify right side
    21,782.43x = 406,639,456.38
  5. Step 5: Solve for x
    x = 406,639,456.38/21,782.43
  6. Step 6: Final answer
    x = 18,668.23

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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.