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Finding the Fourth Proportional to 13,581.72, 18,743.04 and 7,614

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Solution

The fourth proportional to 13,581.72, 18,743.04 and 7,614 is: 10,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.72 : 18,743.04 = 7,614 : x
  2. Step 2: Convert to fraction form
    13,581.72/18,743.04 = 7,614/x
  3. Step 3: Cross multiply
    13,581.72x = 18,743.04 × 7,614
  4. Step 4: Simplify right side
    13,581.72x = 142,709,506.56
  5. Step 5: Solve for x
    x = 142,709,506.56/13,581.72
  6. Step 6: Final answer
    x = 10,507.47

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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.