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Finding the Fourth Proportional to 17,627.50, 24,325.96 and 10,175.50

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Solution

The fourth proportional to 17,627.50, 24,325.96 and 10,175.50 is: 14,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.50 : 24,325.96 = 10,175.50 : x
  2. Step 2: Convert to fraction form
    17,627.50/24,325.96 = 10,175.50/x
  3. Step 3: Cross multiply
    17,627.50x = 24,325.96 × 10,175.50
  4. Step 4: Simplify right side
    17,627.50x = 247,528,805.98
  5. Step 5: Solve for x
    x = 247,528,805.98/17,627.50
  6. Step 6: Final answer
    x = 14,042.20

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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.