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Finding the Fourth Proportional to 13,704.16, 20,554.08 and 4,468

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Solution

The fourth proportional to 13,704.16, 20,554.08 and 4,468 is: 6,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.16 : 20,554.08 = 4,468 : x
  2. Step 2: Convert to fraction form
    13,704.16/20,554.08 = 4,468/x
  3. Step 3: Cross multiply
    13,704.16x = 20,554.08 × 4,468
  4. Step 4: Simplify right side
    13,704.16x = 91,835,629.44
  5. Step 5: Solve for x
    x = 91,835,629.44/13,704.16
  6. Step 6: Final answer
    x = 6,701.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.