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Finding the Fourth Proportional to 13,224.96, 19,829.42 and 5,210.12

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Solution

The fourth proportional to 13,224.96, 19,829.42 and 5,210.12 is: 7,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.96 : 19,829.42 = 5,210.12 : x
  2. Step 2: Convert to fraction form
    13,224.96/19,829.42 = 5,210.12/x
  3. Step 3: Cross multiply
    13,224.96x = 19,829.42 × 5,210.12
  4. Step 4: Simplify right side
    13,224.96x = 103,313,657.73
  5. Step 5: Solve for x
    x = 103,313,657.73/13,224.96
  6. Step 6: Final answer
    x = 7,812.02

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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.