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Finding the Fourth Proportional to 13,618.64, 20,429.20 and 5,299.28

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Solution

The fourth proportional to 13,618.64, 20,429.20 and 5,299.28 is: 7,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.64 : 20,429.20 = 5,299.28 : x
  2. Step 2: Convert to fraction form
    13,618.64/20,429.20 = 5,299.28/x
  3. Step 3: Cross multiply
    13,618.64x = 20,429.20 × 5,299.28
  4. Step 4: Simplify right side
    13,618.64x = 108,260,050.98
  5. Step 5: Solve for x
    x = 108,260,050.98/13,618.64
  6. Step 6: Final answer
    x = 7,949.40

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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.