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Finding the Fourth Proportional to 13,599.86, 20,385.76 and 5,706.96

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Solution

The fourth proportional to 13,599.86, 20,385.76 and 5,706.96 is: 8,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.86 : 20,385.76 = 5,706.96 : x
  2. Step 2: Convert to fraction form
    13,599.86/20,385.76 = 5,706.96/x
  3. Step 3: Cross multiply
    13,599.86x = 20,385.76 × 5,706.96
  4. Step 4: Simplify right side
    13,599.86x = 116,340,767.85
  5. Step 5: Solve for x
    x = 116,340,767.85/13,599.86
  6. Step 6: Final answer
    x = 8,554.55

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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.