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Finding the Fourth Proportional to 13,797.40, 20,688.54 and 5,468.98

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Solution

The fourth proportional to 13,797.40, 20,688.54 and 5,468.98 is: 8,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.40 : 20,688.54 = 5,468.98 : x
  2. Step 2: Convert to fraction form
    13,797.40/20,688.54 = 5,468.98/x
  3. Step 3: Cross multiply
    13,797.40x = 20,688.54 × 5,468.98
  4. Step 4: Simplify right side
    13,797.40x = 113,145,211.49
  5. Step 5: Solve for x
    x = 113,145,211.49/13,797.40
  6. Step 6: Final answer
    x = 8,200.47

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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.