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Finding the Fourth Proportional to 27,712.40, 38,243.34 and 15,776.51

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Solution

The fourth proportional to 27,712.40, 38,243.34 and 15,776.51 is: 21,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.40 : 38,243.34 = 15,776.51 : x
  2. Step 2: Convert to fraction form
    27,712.40/38,243.34 = 15,776.51/x
  3. Step 3: Cross multiply
    27,712.40x = 38,243.34 × 15,776.51
  4. Step 4: Simplify right side
    27,712.40x = 603,346,435.94
  5. Step 5: Solve for x
    x = 603,346,435.94/27,712.40
  6. Step 6: Final answer
    x = 21,771.71

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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.