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Finding the Fourth Proportional to 12,828.35, 19,227.93 and 5,428.19

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Solution

The fourth proportional to 12,828.35, 19,227.93 and 5,428.19 is: 8,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.35 : 19,227.93 = 5,428.19 : x
  2. Step 2: Convert to fraction form
    12,828.35/19,227.93 = 5,428.19/x
  3. Step 3: Cross multiply
    12,828.35x = 19,227.93 × 5,428.19
  4. Step 4: Simplify right side
    12,828.35x = 104,372,761.21
  5. Step 5: Solve for x
    x = 104,372,761.21/12,828.35
  6. Step 6: Final answer
    x = 8,136.10

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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.