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Finding the Fourth Proportional to 14,209.25, 19,608.62 and 8,160.48

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Solution

The fourth proportional to 14,209.25, 19,608.62 and 8,160.48 is: 11,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.25 : 19,608.62 = 8,160.48 : x
  2. Step 2: Convert to fraction form
    14,209.25/19,608.62 = 8,160.48/x
  3. Step 3: Cross multiply
    14,209.25x = 19,608.62 × 8,160.48
  4. Step 4: Simplify right side
    14,209.25x = 160,015,710.54
  5. Step 5: Solve for x
    x = 160,015,710.54/14,209.25
  6. Step 6: Final answer
    x = 11,261.38

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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.