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Finding the Fourth Proportional to 13,200.16, 19,802.68 and 8,517.96

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Solution

The fourth proportional to 13,200.16, 19,802.68 and 8,517.96 is: 12,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.16 : 19,802.68 = 8,517.96 : x
  2. Step 2: Convert to fraction form
    13,200.16/19,802.68 = 8,517.96/x
  3. Step 3: Cross multiply
    13,200.16x = 19,802.68 × 8,517.96
  4. Step 4: Simplify right side
    13,200.16x = 168,678,436.13
  5. Step 5: Solve for x
    x = 168,678,436.13/13,200.16
  6. Step 6: Final answer
    x = 12,778.51

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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.