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Finding the Fourth Proportional to 13,564.94, 20,343.24 and 4,797.81

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Solution

The fourth proportional to 13,564.94, 20,343.24 and 4,797.81 is: 7,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.94 : 20,343.24 = 4,797.81 : x
  2. Step 2: Convert to fraction form
    13,564.94/20,343.24 = 4,797.81/x
  3. Step 3: Cross multiply
    13,564.94x = 20,343.24 × 4,797.81
  4. Step 4: Simplify right side
    13,564.94x = 97,603,000.30
  5. Step 5: Solve for x
    x = 97,603,000.30/13,564.94
  6. Step 6: Final answer
    x = 7,195.24

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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.