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Finding the Fourth Proportional to 12,802.69, 19,204.03 and 3,568.69

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Solution

The fourth proportional to 12,802.69, 19,204.03 and 3,568.69 is: 5,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.69 : 19,204.03 = 3,568.69 : x
  2. Step 2: Convert to fraction form
    12,802.69/19,204.03 = 3,568.69/x
  3. Step 3: Cross multiply
    12,802.69x = 19,204.03 × 3,568.69
  4. Step 4: Simplify right side
    12,802.69x = 68,533,229.82
  5. Step 5: Solve for x
    x = 68,533,229.82/12,802.69
  6. Step 6: Final answer
    x = 5,353.03

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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.