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Finding the Fourth Proportional to 13,698.68, 20,540.07 and 5,368.94

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Solution

The fourth proportional to 13,698.68, 20,540.07 and 5,368.94 is: 8,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.68 : 20,540.07 = 5,368.94 : x
  2. Step 2: Convert to fraction form
    13,698.68/20,540.07 = 5,368.94/x
  3. Step 3: Cross multiply
    13,698.68x = 20,540.07 × 5,368.94
  4. Step 4: Simplify right side
    13,698.68x = 110,278,300.73
  5. Step 5: Solve for x
    x = 110,278,300.73/13,698.68
  6. Step 6: Final answer
    x = 8,050.29

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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.