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Finding the Fourth Proportional to 13,106.57, 18,087.77 and 7,517.57

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Solution

The fourth proportional to 13,106.57, 18,087.77 and 7,517.57 is: 10,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.57 : 18,087.77 = 7,517.57 : x
  2. Step 2: Convert to fraction form
    13,106.57/18,087.77 = 7,517.57/x
  3. Step 3: Cross multiply
    13,106.57x = 18,087.77 × 7,517.57
  4. Step 4: Simplify right side
    13,106.57x = 135,976,005.47
  5. Step 5: Solve for x
    x = 135,976,005.47/13,106.57
  6. Step 6: Final answer
    x = 10,374.65

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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.