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Finding the Fourth Proportional to 26,896, 37,116.48 and 15,120

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Solution

The fourth proportional to 26,896, 37,116.48 and 15,120 is: 20,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,896 : 37,116.48 = 15,120 : x
  2. Step 2: Convert to fraction form
    26,896/37,116.48 = 15,120/x
  3. Step 3: Cross multiply
    26,896x = 37,116.48 × 15,120
  4. Step 4: Simplify right side
    26,896x = 561,201,177.60
  5. Step 5: Solve for x
    x = 561,201,177.60/26,896
  6. Step 6: Final answer
    x = 20,865.60

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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.