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Finding the Fourth Proportional to 13,201.96, 19,802.94 and 5,416.24

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Solution

The fourth proportional to 13,201.96, 19,802.94 and 5,416.24 is: 8,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.96 : 19,802.94 = 5,416.24 : x
  2. Step 2: Convert to fraction form
    13,201.96/19,802.94 = 5,416.24/x
  3. Step 3: Cross multiply
    13,201.96x = 19,802.94 × 5,416.24
  4. Step 4: Simplify right side
    13,201.96x = 107,257,376.73
  5. Step 5: Solve for x
    x = 107,257,376.73/13,201.96
  6. Step 6: Final answer
    x = 8,124.36

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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.