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Finding the Fourth Proportional to 27,608.99, 38,105.40 and 16,277.81

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Solution

The fourth proportional to 27,608.99, 38,105.40 and 16,277.81 is: 22,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.99 : 38,105.40 = 16,277.81 : x
  2. Step 2: Convert to fraction form
    27,608.99/38,105.40 = 16,277.81/x
  3. Step 3: Cross multiply
    27,608.99x = 38,105.40 × 16,277.81
  4. Step 4: Simplify right side
    27,608.99x = 620,272,461.17
  5. Step 5: Solve for x
    x = 620,272,461.17/27,608.99
  6. Step 6: Final answer
    x = 22,466.32

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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.