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Finding the Fourth Proportional to 12,075.12, 16,663.67 and 6,769.94

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Solution

The fourth proportional to 12,075.12, 16,663.67 and 6,769.94 is: 9,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.12 : 16,663.67 = 6,769.94 : x
  2. Step 2: Convert to fraction form
    12,075.12/16,663.67 = 6,769.94/x
  3. Step 3: Cross multiply
    12,075.12x = 16,663.67 × 6,769.94
  4. Step 4: Simplify right side
    12,075.12x = 112,811,928.91
  5. Step 5: Solve for x
    x = 112,811,928.91/12,075.12
  6. Step 6: Final answer
    x = 9,342.51

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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.