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Finding the Fourth Proportional to 26,420.48, 39,629.76 and 7,952

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Solution

The fourth proportional to 26,420.48, 39,629.76 and 7,952 is: 11,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,420.48 : 39,629.76 = 7,952 : x
  2. Step 2: Convert to fraction form
    26,420.48/39,629.76 = 7,952/x
  3. Step 3: Cross multiply
    26,420.48x = 39,629.76 × 7,952
  4. Step 4: Simplify right side
    26,420.48x = 315,135,851.52
  5. Step 5: Solve for x
    x = 315,135,851.52/26,420.48
  6. Step 6: Final answer
    x = 11,927.71

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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.