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Finding the Fourth Proportional to 25,760.08, 35,514 and 22,023.38

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Solution

The fourth proportional to 25,760.08, 35,514 and 22,023.38 is: 30,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.08 : 35,514 = 22,023.38 : x
  2. Step 2: Convert to fraction form
    25,760.08/35,514 = 22,023.38/x
  3. Step 3: Cross multiply
    25,760.08x = 35,514 × 22,023.38
  4. Step 4: Simplify right side
    25,760.08x = 782,138,317.32
  5. Step 5: Solve for x
    x = 782,138,317.32/25,760.08
  6. Step 6: Final answer
    x = 30,362.42

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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.