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Finding the Fourth Proportional to 19,883.80, 27,435 and 16,709.14

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Solution

The fourth proportional to 19,883.80, 27,435 and 16,709.14 is: 23,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.80 : 27,435 = 16,709.14 : x
  2. Step 2: Convert to fraction form
    19,883.80/27,435 = 16,709.14/x
  3. Step 3: Cross multiply
    19,883.80x = 27,435 × 16,709.14
  4. Step 4: Simplify right side
    19,883.80x = 458,415,255.90
  5. Step 5: Solve for x
    x = 458,415,255.90/19,883.80
  6. Step 6: Final answer
    x = 23,054.71

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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.