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Finding the Fourth Proportional to 14,406, 19,880.36 and 8,118.48

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Solution

The fourth proportional to 14,406, 19,880.36 and 8,118.48 is: 11,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406 : 19,880.36 = 8,118.48 : x
  2. Step 2: Convert to fraction form
    14,406/19,880.36 = 8,118.48/x
  3. Step 3: Cross multiply
    14,406x = 19,880.36 × 8,118.48
  4. Step 4: Simplify right side
    14,406x = 161,398,305.05
  5. Step 5: Solve for x
    x = 161,398,305.05/14,406
  6. Step 6: Final answer
    x = 11,203.55

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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.