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Finding the Fourth Proportional to 12,075.92, 16,665.63 and 6,700.12

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Solution

The fourth proportional to 12,075.92, 16,665.63 and 6,700.12 is: 9,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.92 : 16,665.63 = 6,700.12 : x
  2. Step 2: Convert to fraction form
    12,075.92/16,665.63 = 6,700.12/x
  3. Step 3: Cross multiply
    12,075.92x = 16,665.63 × 6,700.12
  4. Step 4: Simplify right side
    12,075.92x = 111,661,785.52
  5. Step 5: Solve for x
    x = 111,661,785.52/12,075.92
  6. Step 6: Final answer
    x = 9,246.64

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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.