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Finding the Fourth Proportional to 13,710.75, 20,449.15 and 13,473.82

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Solution

The fourth proportional to 13,710.75, 20,449.15 and 13,473.82 is: 20,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.75 : 20,449.15 = 13,473.82 : x
  2. Step 2: Convert to fraction form
    13,710.75/20,449.15 = 13,473.82/x
  3. Step 3: Cross multiply
    13,710.75x = 20,449.15 × 13,473.82
  4. Step 4: Simplify right side
    13,710.75x = 275,528,166.25
  5. Step 5: Solve for x
    x = 275,528,166.25/13,710.75
  6. Step 6: Final answer
    x = 20,095.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.