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Finding the Fourth Proportional to 12,425.10, 18,625.14 and 6,175.50

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Solution

The fourth proportional to 12,425.10, 18,625.14 and 6,175.50 is: 9,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.10 : 18,625.14 = 6,175.50 : x
  2. Step 2: Convert to fraction form
    12,425.10/18,625.14 = 6,175.50/x
  3. Step 3: Cross multiply
    12,425.10x = 18,625.14 × 6,175.50
  4. Step 4: Simplify right side
    12,425.10x = 115,019,552.07
  5. Step 5: Solve for x
    x = 115,019,552.07/12,425.10
  6. Step 6: Final answer
    x = 9,257.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.