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Finding the Fourth Proportional to 34,021.44, 51,012 and 13,220.64

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Solution

The fourth proportional to 34,021.44, 51,012 and 13,220.64 is: 19,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,021.44 : 51,012 = 13,220.64 : x
  2. Step 2: Convert to fraction form
    34,021.44/51,012 = 13,220.64/x
  3. Step 3: Cross multiply
    34,021.44x = 51,012 × 13,220.64
  4. Step 4: Simplify right side
    34,021.44x = 674,411,287.68
  5. Step 5: Solve for x
    x = 674,411,287.68/34,021.44
  6. Step 6: Final answer
    x = 19,823.13

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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.