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Finding the Fourth Proportional to 17,762.44, 26,647.74 and 6,075.64

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Solution

The fourth proportional to 17,762.44, 26,647.74 and 6,075.64 is: 9,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.44 : 26,647.74 = 6,075.64 : x
  2. Step 2: Convert to fraction form
    17,762.44/26,647.74 = 6,075.64/x
  3. Step 3: Cross multiply
    17,762.44x = 26,647.74 × 6,075.64
  4. Step 4: Simplify right side
    17,762.44x = 161,902,075.05
  5. Step 5: Solve for x
    x = 161,902,075.05/17,762.44
  6. Step 6: Final answer
    x = 9,114.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.