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Finding the Fourth Proportional to 25,696, 35,464.26 and 15,091.48

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Solution

The fourth proportional to 25,696, 35,464.26 and 15,091.48 is: 20,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696 : 35,464.26 = 15,091.48 : x
  2. Step 2: Convert to fraction form
    25,696/35,464.26 = 15,091.48/x
  3. Step 3: Cross multiply
    25,696x = 35,464.26 × 15,091.48
  4. Step 4: Simplify right side
    25,696x = 535,208,170.50
  5. Step 5: Solve for x
    x = 535,208,170.50/25,696
  6. Step 6: Final answer
    x = 20,828.46

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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.