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Finding the Fourth Proportional to 12,302, 16,975.33 and 6,995.69

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Solution

The fourth proportional to 12,302, 16,975.33 and 6,995.69 is: 9,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302 : 16,975.33 = 6,995.69 : x
  2. Step 2: Convert to fraction form
    12,302/16,975.33 = 6,995.69/x
  3. Step 3: Cross multiply
    12,302x = 16,975.33 × 6,995.69
  4. Step 4: Simplify right side
    12,302x = 118,754,146.33
  5. Step 5: Solve for x
    x = 118,754,146.33/12,302
  6. Step 6: Final answer
    x = 9,653.24

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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.