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Finding the Fourth Proportional to 13,531.46, 18,675.16 and 7,564.36

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Solution

The fourth proportional to 13,531.46, 18,675.16 and 7,564.36 is: 10,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.46 : 18,675.16 = 7,564.36 : x
  2. Step 2: Convert to fraction form
    13,531.46/18,675.16 = 7,564.36/x
  3. Step 3: Cross multiply
    13,531.46x = 18,675.16 × 7,564.36
  4. Step 4: Simplify right side
    13,531.46x = 141,265,633.30
  5. Step 5: Solve for x
    x = 141,265,633.30/13,531.46
  6. Step 6: Final answer
    x = 10,439.79

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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.