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Finding the Fourth Proportional to 25,617, 35,351.46 and 13,841

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Solution

The fourth proportional to 25,617, 35,351.46 and 13,841 is: 19,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,617 : 35,351.46 = 13,841 : x
  2. Step 2: Convert to fraction form
    25,617/35,351.46 = 13,841/x
  3. Step 3: Cross multiply
    25,617x = 35,351.46 × 13,841
  4. Step 4: Simplify right side
    25,617x = 489,299,557.86
  5. Step 5: Solve for x
    x = 489,299,557.86/25,617
  6. Step 6: Final answer
    x = 19,100.58

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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.