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Finding the Fourth Proportional to 12,006.34, 16,568.80 and 6,701.38

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Solution

The fourth proportional to 12,006.34, 16,568.80 and 6,701.38 is: 9,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.34 : 16,568.80 = 6,701.38 : x
  2. Step 2: Convert to fraction form
    12,006.34/16,568.80 = 6,701.38/x
  3. Step 3: Cross multiply
    12,006.34x = 16,568.80 × 6,701.38
  4. Step 4: Simplify right side
    12,006.34x = 111,033,824.94
  5. Step 5: Solve for x
    x = 111,033,824.94/12,006.34
  6. Step 6: Final answer
    x = 9,247.93

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Why These Related Problems?

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