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Finding the Fourth Proportional to 25,830.92, 35,578.77 and 19,851.14

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Solution

The fourth proportional to 25,830.92, 35,578.77 and 19,851.14 is: 27,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.92 : 35,578.77 = 19,851.14 : x
  2. Step 2: Convert to fraction form
    25,830.92/35,578.77 = 19,851.14/x
  3. Step 3: Cross multiply
    25,830.92x = 35,578.77 × 19,851.14
  4. Step 4: Simplify right side
    25,830.92x = 706,279,144.30
  5. Step 5: Solve for x
    x = 706,279,144.30/25,830.92
  6. Step 6: Final answer
    x = 27,342.39

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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.