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Finding the Fourth Proportional to 13,625.97, 18,804.09 and 7,657.62

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Solution

The fourth proportional to 13,625.97, 18,804.09 and 7,657.62 is: 10,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.97 : 18,804.09 = 7,657.62 : x
  2. Step 2: Convert to fraction form
    13,625.97/18,804.09 = 7,657.62/x
  3. Step 3: Cross multiply
    13,625.97x = 18,804.09 × 7,657.62
  4. Step 4: Simplify right side
    13,625.97x = 143,994,575.67
  5. Step 5: Solve for x
    x = 143,994,575.67/13,625.97
  6. Step 6: Final answer
    x = 10,567.66

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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.