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Finding the Fourth Proportional to 13,593.16, 20,385.46 and 5,695.64

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Solution

The fourth proportional to 13,593.16, 20,385.46 and 5,695.64 is: 8,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593.16 : 20,385.46 = 5,695.64 : x
  2. Step 2: Convert to fraction form
    13,593.16/20,385.46 = 5,695.64/x
  3. Step 3: Cross multiply
    13,593.16x = 20,385.46 × 5,695.64
  4. Step 4: Simplify right side
    13,593.16x = 116,108,241.39
  5. Step 5: Solve for x
    x = 116,108,241.39/13,593.16
  6. Step 6: Final answer
    x = 8,541.67

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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.