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Finding the Fourth Proportional to 23,762.78, 35,647.77 and 17,238.20

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Solution

The fourth proportional to 23,762.78, 35,647.77 and 17,238.20 is: 25,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.78 : 35,647.77 = 17,238.20 : x
  2. Step 2: Convert to fraction form
    23,762.78/35,647.77 = 17,238.20/x
  3. Step 3: Cross multiply
    23,762.78x = 35,647.77 × 17,238.20
  4. Step 4: Simplify right side
    23,762.78x = 614,503,388.81
  5. Step 5: Solve for x
    x = 614,503,388.81/23,762.78
  6. Step 6: Final answer
    x = 25,859.91

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