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Finding the Fourth Proportional to 12,075.34, 16,664.82 and 6,698.30

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Solution

The fourth proportional to 12,075.34, 16,664.82 and 6,698.30 is: 9,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.34 : 16,664.82 = 6,698.30 : x
  2. Step 2: Convert to fraction form
    12,075.34/16,664.82 = 6,698.30/x
  3. Step 3: Cross multiply
    12,075.34x = 16,664.82 × 6,698.30
  4. Step 4: Simplify right side
    12,075.34x = 111,625,857.72
  5. Step 5: Solve for x
    x = 111,625,857.72/12,075.34
  6. Step 6: Final answer
    x = 9,244.11

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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.