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Finding the Fourth Proportional to 26,148.56, 39,222.72 and 7,680.56

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Solution

The fourth proportional to 26,148.56, 39,222.72 and 7,680.56 is: 11,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,148.56 : 39,222.72 = 7,680.56 : x
  2. Step 2: Convert to fraction form
    26,148.56/39,222.72 = 7,680.56/x
  3. Step 3: Cross multiply
    26,148.56x = 39,222.72 × 7,680.56
  4. Step 4: Simplify right side
    26,148.56x = 301,252,454.32
  5. Step 5: Solve for x
    x = 301,252,454.32/26,148.56
  6. Step 6: Final answer
    x = 11,520.80

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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.