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Finding the Fourth Proportional to 14,293.55, 19,721.88 and 8,629.22

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Solution

The fourth proportional to 14,293.55, 19,721.88 and 8,629.22 is: 11,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.55 : 19,721.88 = 8,629.22 : x
  2. Step 2: Convert to fraction form
    14,293.55/19,721.88 = 8,629.22/x
  3. Step 3: Cross multiply
    14,293.55x = 19,721.88 × 8,629.22
  4. Step 4: Simplify right side
    14,293.55x = 170,184,441.33
  5. Step 5: Solve for x
    x = 170,184,441.33/14,293.55
  6. Step 6: Final answer
    x = 11,906.38

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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.