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Finding the Fourth Proportional to 13,782.76, 20,677.24 and 4,423.62

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Solution

The fourth proportional to 13,782.76, 20,677.24 and 4,423.62 is: 6,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.76 : 20,677.24 = 4,423.62 : x
  2. Step 2: Convert to fraction form
    13,782.76/20,677.24 = 4,423.62/x
  3. Step 3: Cross multiply
    13,782.76x = 20,677.24 × 4,423.62
  4. Step 4: Simplify right side
    13,782.76x = 91,468,252.41
  5. Step 5: Solve for x
    x = 91,468,252.41/13,782.76
  6. Step 6: Final answer
    x = 6,636.42

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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.