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Finding the Fourth Proportional to 13,224.44, 19,834.49 and 4,902.50

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Solution

The fourth proportional to 13,224.44, 19,834.49 and 4,902.50 is: 7,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.44 : 19,834.49 = 4,902.50 : x
  2. Step 2: Convert to fraction form
    13,224.44/19,834.49 = 4,902.50/x
  3. Step 3: Cross multiply
    13,224.44x = 19,834.49 × 4,902.50
  4. Step 4: Simplify right side
    13,224.44x = 97,238,463.54
  5. Step 5: Solve for x
    x = 97,238,463.54/13,224.44
  6. Step 6: Final answer
    x = 7,352.94

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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.