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Finding the Fourth Proportional to 13,698.17, 20,539.32 and 5,368.43

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Solution

The fourth proportional to 13,698.17, 20,539.32 and 5,368.43 is: 8,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.17 : 20,539.32 = 5,368.43 : x
  2. Step 2: Convert to fraction form
    13,698.17/20,539.32 = 5,368.43/x
  3. Step 3: Cross multiply
    13,698.17x = 20,539.32 × 5,368.43
  4. Step 4: Simplify right side
    13,698.17x = 110,263,901.67
  5. Step 5: Solve for x
    x = 110,263,901.67/13,698.17
  6. Step 6: Final answer
    x = 8,049.54

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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.