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Finding the Fourth Proportional to 13,563.68, 20,346.06 and 4,204.67

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Solution

The fourth proportional to 13,563.68, 20,346.06 and 4,204.67 is: 6,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.68 : 20,346.06 = 4,204.67 : x
  2. Step 2: Convert to fraction form
    13,563.68/20,346.06 = 4,204.67/x
  3. Step 3: Cross multiply
    13,563.68x = 20,346.06 × 4,204.67
  4. Step 4: Simplify right side
    13,563.68x = 85,548,468.10
  5. Step 5: Solve for x
    x = 85,548,468.10/13,563.68
  6. Step 6: Final answer
    x = 6,307.17

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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.