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Finding the Fourth Proportional to 26,782.85, 40,185.21 and 9,264.98

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Solution

The fourth proportional to 26,782.85, 40,185.21 and 9,264.98 is: 13,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.85 : 40,185.21 = 9,264.98 : x
  2. Step 2: Convert to fraction form
    26,782.85/40,185.21 = 9,264.98/x
  3. Step 3: Cross multiply
    26,782.85x = 40,185.21 × 9,264.98
  4. Step 4: Simplify right side
    26,782.85x = 372,315,302.15
  5. Step 5: Solve for x
    x = 372,315,302.15/26,782.85
  6. Step 6: Final answer
    x = 13,901.26

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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.