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Finding the Fourth Proportional to 13,794.50, 20,515.43 and 13,646.88

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Solution

The fourth proportional to 13,794.50, 20,515.43 and 13,646.88 is: 20,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.50 : 20,515.43 = 13,646.88 : x
  2. Step 2: Convert to fraction form
    13,794.50/20,515.43 = 13,646.88/x
  3. Step 3: Cross multiply
    13,794.50x = 20,515.43 × 13,646.88
  4. Step 4: Simplify right side
    13,794.50x = 279,971,568.71
  5. Step 5: Solve for x
    x = 279,971,568.71/13,794.50
  6. Step 6: Final answer
    x = 20,295.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.