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Finding the Fourth Proportional to 13,578.13, 18,737.80 and 8,272.96

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Solution

The fourth proportional to 13,578.13, 18,737.80 and 8,272.96 is: 11,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.13 : 18,737.80 = 8,272.96 : x
  2. Step 2: Convert to fraction form
    13,578.13/18,737.80 = 8,272.96/x
  3. Step 3: Cross multiply
    13,578.13x = 18,737.80 × 8,272.96
  4. Step 4: Simplify right side
    13,578.13x = 155,017,069.89
  5. Step 5: Solve for x
    x = 155,017,069.89/13,578.13
  6. Step 6: Final answer
    x = 11,416.67

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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.