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Finding the Fourth Proportional to 13,167.50, 18,171.16 and 7,578.50

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Solution

The fourth proportional to 13,167.50, 18,171.16 and 7,578.50 is: 10,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,167.50 : 18,171.16 = 7,578.50 : x
  2. Step 2: Convert to fraction form
    13,167.50/18,171.16 = 7,578.50/x
  3. Step 3: Cross multiply
    13,167.50x = 18,171.16 × 7,578.50
  4. Step 4: Simplify right side
    13,167.50x = 137,710,136.06
  5. Step 5: Solve for x
    x = 137,710,136.06/13,167.50
  6. Step 6: Final answer
    x = 10,458.34

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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.