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Finding the Fourth Proportional to 26,380.86, 39,573.34 and 7,661.20

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Solution

The fourth proportional to 26,380.86, 39,573.34 and 7,661.20 is: 11,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.86 : 39,573.34 = 7,661.20 : x
  2. Step 2: Convert to fraction form
    26,380.86/39,573.34 = 7,661.20/x
  3. Step 3: Cross multiply
    26,380.86x = 39,573.34 × 7,661.20
  4. Step 4: Simplify right side
    26,380.86x = 303,179,271.62
  5. Step 5: Solve for x
    x = 303,179,271.62/26,380.86
  6. Step 6: Final answer
    x = 11,492.40

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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.