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Finding the Fourth Proportional to 26,959.36, 37,202.74 and 15,024

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Solution

The fourth proportional to 26,959.36, 37,202.74 and 15,024 is: 20,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,959.36 : 37,202.74 = 15,024 : x
  2. Step 2: Convert to fraction form
    26,959.36/37,202.74 = 15,024/x
  3. Step 3: Cross multiply
    26,959.36x = 37,202.74 × 15,024
  4. Step 4: Simplify right side
    26,959.36x = 558,933,965.76
  5. Step 5: Solve for x
    x = 558,933,965.76/26,959.36
  6. Step 6: Final answer
    x = 20,732.46

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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.