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Finding the Fourth Proportional to 26,230.72, 39,345.36 and 7,762.72

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Solution

The fourth proportional to 26,230.72, 39,345.36 and 7,762.72 is: 11,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,230.72 : 39,345.36 = 7,762.72 : x
  2. Step 2: Convert to fraction form
    26,230.72/39,345.36 = 7,762.72/x
  3. Step 3: Cross multiply
    26,230.72x = 39,345.36 × 7,762.72
  4. Step 4: Simplify right side
    26,230.72x = 305,427,012.98
  5. Step 5: Solve for x
    x = 305,427,012.98/26,230.72
  6. Step 6: Final answer
    x = 11,643.87

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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.