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Finding the Fourth Proportional to 13,532.62, 18,675.40 and 7,564.96

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Solution

The fourth proportional to 13,532.62, 18,675.40 and 7,564.96 is: 10,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.62 : 18,675.40 = 7,564.96 : x
  2. Step 2: Convert to fraction form
    13,532.62/18,675.40 = 7,564.96/x
  3. Step 3: Cross multiply
    13,532.62x = 18,675.40 × 7,564.96
  4. Step 4: Simplify right side
    13,532.62x = 141,278,653.98
  5. Step 5: Solve for x
    x = 141,278,653.98/13,532.62
  6. Step 6: Final answer
    x = 10,439.86

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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.