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Finding the Fourth Proportional to 25,514.63, 38,274.11 and 6,794.66

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Solution

The fourth proportional to 25,514.63, 38,274.11 and 6,794.66 is: 10,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.63 : 38,274.11 = 6,794.66 : x
  2. Step 2: Convert to fraction form
    25,514.63/38,274.11 = 6,794.66/x
  3. Step 3: Cross multiply
    25,514.63x = 38,274.11 × 6,794.66
  4. Step 4: Simplify right side
    25,514.63x = 260,059,564.25
  5. Step 5: Solve for x
    x = 260,059,564.25/25,514.63
  6. Step 6: Final answer
    x = 10,192.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.