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Finding the Fourth Proportional to 20,097.66, 27,745.78 and 13,292

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Solution

The fourth proportional to 20,097.66, 27,745.78 and 13,292 is: 18,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.66 : 27,745.78 = 13,292 : x
  2. Step 2: Convert to fraction form
    20,097.66/27,745.78 = 13,292/x
  3. Step 3: Cross multiply
    20,097.66x = 27,745.78 × 13,292
  4. Step 4: Simplify right side
    20,097.66x = 368,796,907.76
  5. Step 5: Solve for x
    x = 368,796,907.76/20,097.66
  6. Step 6: Final answer
    x = 18,350.24

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1.5x scale

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.