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Finding the Fourth Proportional to 14,616.38, 20,172.48 and 9,584.84

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Solution

The fourth proportional to 14,616.38, 20,172.48 and 9,584.84 is: 13,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.38 : 20,172.48 = 9,584.84 : x
  2. Step 2: Convert to fraction form
    14,616.38/20,172.48 = 9,584.84/x
  3. Step 3: Cross multiply
    14,616.38x = 20,172.48 × 9,584.84
  4. Step 4: Simplify right side
    14,616.38x = 193,349,993.20
  5. Step 5: Solve for x
    x = 193,349,993.20/14,616.38
  6. Step 6: Final answer
    x = 13,228.31

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Why These Related Problems?

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