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Finding the Fourth Proportional to 26,938, 37,174.44 and 15,762.16

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Solution

The fourth proportional to 26,938, 37,174.44 and 15,762.16 is: 21,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938 : 37,174.44 = 15,762.16 : x
  2. Step 2: Convert to fraction form
    26,938/37,174.44 = 15,762.16/x
  3. Step 3: Cross multiply
    26,938x = 37,174.44 × 15,762.16
  4. Step 4: Simplify right side
    26,938x = 585,949,471.19
  5. Step 5: Solve for x
    x = 585,949,471.19/26,938
  6. Step 6: Final answer
    x = 21,751.78

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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.