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Finding the Fourth Proportional to 13,583.43, 18,744.35 and 7,614

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Solution

The fourth proportional to 13,583.43, 18,744.35 and 7,614 is: 10,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.43 : 18,744.35 = 7,614 : x
  2. Step 2: Convert to fraction form
    13,583.43/18,744.35 = 7,614/x
  3. Step 3: Cross multiply
    13,583.43x = 18,744.35 × 7,614
  4. Step 4: Simplify right side
    13,583.43x = 142,719,442.83
  5. Step 5: Solve for x
    x = 142,719,442.83/13,583.43
  6. Step 6: Final answer
    x = 10,506.88

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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.