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Finding the Fourth Proportional to 13,365.66, 18,446.57 and 7,699.31

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Solution

The fourth proportional to 13,365.66, 18,446.57 and 7,699.31 is: 10,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.66 : 18,446.57 = 7,699.31 : x
  2. Step 2: Convert to fraction form
    13,365.66/18,446.57 = 7,699.31/x
  3. Step 3: Cross multiply
    13,365.66x = 18,446.57 × 7,699.31
  4. Step 4: Simplify right side
    13,365.66x = 142,025,860.87
  5. Step 5: Solve for x
    x = 142,025,860.87/13,365.66
  6. Step 6: Final answer
    x = 10,626.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.