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Finding the Fourth Proportional to 13,880.64, 20,803.08 and 5,105.16

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Solution

The fourth proportional to 13,880.64, 20,803.08 and 5,105.16 is: 7,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.64 : 20,803.08 = 5,105.16 : x
  2. Step 2: Convert to fraction form
    13,880.64/20,803.08 = 5,105.16/x
  3. Step 3: Cross multiply
    13,880.64x = 20,803.08 × 5,105.16
  4. Step 4: Simplify right side
    13,880.64x = 106,203,051.89
  5. Step 5: Solve for x
    x = 106,203,051.89/13,880.64
  6. Step 6: Final answer
    x = 7,651.16

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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.