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Finding the Fourth Proportional to 26,761.54, 40,142.40 and 7,038.44

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Solution

The fourth proportional to 26,761.54, 40,142.40 and 7,038.44 is: 10,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,761.54 : 40,142.40 = 7,038.44 : x
  2. Step 2: Convert to fraction form
    26,761.54/40,142.40 = 7,038.44/x
  3. Step 3: Cross multiply
    26,761.54x = 40,142.40 × 7,038.44
  4. Step 4: Simplify right side
    26,761.54x = 282,539,873.86
  5. Step 5: Solve for x
    x = 282,539,873.86/26,761.54
  6. Step 6: Final answer
    x = 10,557.68

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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.