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Finding the Fourth Proportional to 13,924.54, 19,209.13 and 9,142.62

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Solution

The fourth proportional to 13,924.54, 19,209.13 and 9,142.62 is: 12,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.54 : 19,209.13 = 9,142.62 : x
  2. Step 2: Convert to fraction form
    13,924.54/19,209.13 = 9,142.62/x
  3. Step 3: Cross multiply
    13,924.54x = 19,209.13 × 9,142.62
  4. Step 4: Simplify right side
    13,924.54x = 175,621,776.12
  5. Step 5: Solve for x
    x = 175,621,776.12/13,924.54
  6. Step 6: Final answer
    x = 12,612.39

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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.