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Finding the Fourth Proportional to 13,578.16, 18,737.83 and 7,609.82

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Solution

The fourth proportional to 13,578.16, 18,737.83 and 7,609.82 is: 10,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.16 : 18,737.83 = 7,609.82 : x
  2. Step 2: Convert to fraction form
    13,578.16/18,737.83 = 7,609.82/x
  3. Step 3: Cross multiply
    13,578.16x = 18,737.83 × 7,609.82
  4. Step 4: Simplify right side
    13,578.16x = 142,591,587.41
  5. Step 5: Solve for x
    x = 142,591,587.41/13,578.16
  6. Step 6: Final answer
    x = 10,501.54

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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.