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Finding the Fourth Proportional to 21,417, 32,136.09 and 10,333.09

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Solution

The fourth proportional to 21,417, 32,136.09 and 10,333.09 is: 15,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417 : 32,136.09 = 10,333.09 : x
  2. Step 2: Convert to fraction form
    21,417/32,136.09 = 10,333.09/x
  3. Step 3: Cross multiply
    21,417x = 32,136.09 × 10,333.09
  4. Step 4: Simplify right side
    21,417x = 332,065,110.22
  5. Step 5: Solve for x
    x = 332,065,110.22/21,417
  6. Step 6: Final answer
    x = 15,504.74

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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.