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Finding the Fourth Proportional to 14,293.94, 21,448.22 and 6,805.96

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Solution

The fourth proportional to 14,293.94, 21,448.22 and 6,805.96 is: 10,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.94 : 21,448.22 = 6,805.96 : x
  2. Step 2: Convert to fraction form
    14,293.94/21,448.22 = 6,805.96/x
  3. Step 3: Cross multiply
    14,293.94x = 21,448.22 × 6,805.96
  4. Step 4: Simplify right side
    14,293.94x = 145,975,693.36
  5. Step 5: Solve for x
    x = 145,975,693.36/14,293.94
  6. Step 6: Final answer
    x = 10,212.42

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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.