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Finding the Fourth Proportional to 13,548.80, 18,697.12 and 7,884.64

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Solution

The fourth proportional to 13,548.80, 18,697.12 and 7,884.64 is: 10,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.80 : 18,697.12 = 7,884.64 : x
  2. Step 2: Convert to fraction form
    13,548.80/18,697.12 = 7,884.64/x
  3. Step 3: Cross multiply
    13,548.80x = 18,697.12 × 7,884.64
  4. Step 4: Simplify right side
    13,548.80x = 147,420,060.24
  5. Step 5: Solve for x
    x = 147,420,060.24/13,548.80
  6. Step 6: Final answer
    x = 10,880.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.