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Finding the Fourth Proportional to 27,782.51, 38,340.11 and 16,452.64

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Solution

The fourth proportional to 27,782.51, 38,340.11 and 16,452.64 is: 22,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.51 : 38,340.11 = 16,452.64 : x
  2. Step 2: Convert to fraction form
    27,782.51/38,340.11 = 16,452.64/x
  3. Step 3: Cross multiply
    27,782.51x = 38,340.11 × 16,452.64
  4. Step 4: Simplify right side
    27,782.51x = 630,795,753.43
  5. Step 5: Solve for x
    x = 630,795,753.43/27,782.51
  6. Step 6: Final answer
    x = 22,704.78

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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.