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Finding the Fourth Proportional to 21,136.79, 31,708.83 and 7,098.17

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Solution

The fourth proportional to 21,136.79, 31,708.83 and 7,098.17 is: 10,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.79 : 31,708.83 = 7,098.17 : x
  2. Step 2: Convert to fraction form
    21,136.79/31,708.83 = 7,098.17/x
  3. Step 3: Cross multiply
    21,136.79x = 31,708.83 × 7,098.17
  4. Step 4: Simplify right side
    21,136.79x = 225,074,507.30
  5. Step 5: Solve for x
    x = 225,074,507.30/21,136.79
  6. Step 6: Final answer
    x = 10,648.47

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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.