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Finding the Fourth Proportional to 12,075.72, 16,662.69 and 6,901.21

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Solution

The fourth proportional to 12,075.72, 16,662.69 and 6,901.21 is: 9,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.72 : 16,662.69 = 6,901.21 : x
  2. Step 2: Convert to fraction form
    12,075.72/16,662.69 = 6,901.21/x
  3. Step 3: Cross multiply
    12,075.72x = 16,662.69 × 6,901.21
  4. Step 4: Simplify right side
    12,075.72x = 114,992,722.85
  5. Step 5: Solve for x
    x = 114,992,722.85/12,075.72
  6. Step 6: Final answer
    x = 9,522.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.