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Finding the Fourth Proportional to 13,684.80, 20,508.59 and 5,780.77

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Solution

The fourth proportional to 13,684.80, 20,508.59 and 5,780.77 is: 8,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.80 : 20,508.59 = 5,780.77 : x
  2. Step 2: Convert to fraction form
    13,684.80/20,508.59 = 5,780.77/x
  3. Step 3: Cross multiply
    13,684.80x = 20,508.59 × 5,780.77
  4. Step 4: Simplify right side
    13,684.80x = 118,555,404.99
  5. Step 5: Solve for x
    x = 118,555,404.99/13,684.80
  6. Step 6: Final answer
    x = 8,663.29

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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.