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Finding the Fourth Proportional to 13,662.89, 20,494.34 and 3,802.17

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Solution

The fourth proportional to 13,662.89, 20,494.34 and 3,802.17 is: 5,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.89 : 20,494.34 = 3,802.17 : x
  2. Step 2: Convert to fraction form
    13,662.89/20,494.34 = 3,802.17/x
  3. Step 3: Cross multiply
    13,662.89x = 20,494.34 × 3,802.17
  4. Step 4: Simplify right side
    13,662.89x = 77,922,945.71
  5. Step 5: Solve for x
    x = 77,922,945.71/13,662.89
  6. Step 6: Final answer
    x = 5,703.26

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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.