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Finding the Fourth Proportional to 13,583.32, 18,744.98 and 7,918.31

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Solution

The fourth proportional to 13,583.32, 18,744.98 and 7,918.31 is: 10,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.32 : 18,744.98 = 7,918.31 : x
  2. Step 2: Convert to fraction form
    13,583.32/18,744.98 = 7,918.31/x
  3. Step 3: Cross multiply
    13,583.32x = 18,744.98 × 7,918.31
  4. Step 4: Simplify right side
    13,583.32x = 148,428,520.09
  5. Step 5: Solve for x
    x = 148,428,520.09/13,583.32
  6. Step 6: Final answer
    x = 10,927.26

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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.