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Finding the Fourth Proportional to 26,509.60, 39,687.60 and 23,744.80

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Solution

The fourth proportional to 26,509.60, 39,687.60 and 23,744.80 is: 35,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.60 : 39,687.60 = 23,744.80 : x
  2. Step 2: Convert to fraction form
    26,509.60/39,687.60 = 23,744.80/x
  3. Step 3: Cross multiply
    26,509.60x = 39,687.60 × 23,744.80
  4. Step 4: Simplify right side
    26,509.60x = 942,374,124.48
  5. Step 5: Solve for x
    x = 942,374,124.48/26,509.60
  6. Step 6: Final answer
    x = 35,548.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.