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Finding the Fourth Proportional to 21,136.19, 31,700.43 and 7,984.22

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Solution

The fourth proportional to 21,136.19, 31,700.43 and 7,984.22 is: 11,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.19 : 31,700.43 = 7,984.22 : x
  2. Step 2: Convert to fraction form
    21,136.19/31,700.43 = 7,984.22/x
  3. Step 3: Cross multiply
    21,136.19x = 31,700.43 × 7,984.22
  4. Step 4: Simplify right side
    21,136.19x = 253,103,048.71
  5. Step 5: Solve for x
    x = 253,103,048.71/21,136.19
  6. Step 6: Final answer
    x = 11,974.87

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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.