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Finding the Fourth Proportional to 19,765.36, 27,230.01 and 13,786.36

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Solution

The fourth proportional to 19,765.36, 27,230.01 and 13,786.36 is: 18,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.36 : 27,230.01 = 13,786.36 : x
  2. Step 2: Convert to fraction form
    19,765.36/27,230.01 = 13,786.36/x
  3. Step 3: Cross multiply
    19,765.36x = 27,230.01 × 13,786.36
  4. Step 4: Simplify right side
    19,765.36x = 375,402,720.66
  5. Step 5: Solve for x
    x = 375,402,720.66/19,765.36
  6. Step 6: Final answer
    x = 18,992.96

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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.