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Finding the Fourth Proportional to 26,842.90, 40,267.16 and 9,075.64

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Solution

The fourth proportional to 26,842.90, 40,267.16 and 9,075.64 is: 13,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.90 : 40,267.16 = 9,075.64 : x
  2. Step 2: Convert to fraction form
    26,842.90/40,267.16 = 9,075.64/x
  3. Step 3: Cross multiply
    26,842.90x = 40,267.16 × 9,075.64
  4. Step 4: Simplify right side
    26,842.90x = 365,450,247.98
  5. Step 5: Solve for x
    x = 365,450,247.98/26,842.90
  6. Step 6: Final answer
    x = 13,614.41

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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.