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Finding the Fourth Proportional to 17,804.69, 26,688.20 and 6,706.58

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Solution

The fourth proportional to 17,804.69, 26,688.20 and 6,706.58 is: 10,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.69 : 26,688.20 = 6,706.58 : x
  2. Step 2: Convert to fraction form
    17,804.69/26,688.20 = 6,706.58/x
  3. Step 3: Cross multiply
    17,804.69x = 26,688.20 × 6,706.58
  4. Step 4: Simplify right side
    17,804.69x = 178,986,414.92
  5. Step 5: Solve for x
    x = 178,986,414.92/17,804.69
  6. Step 6: Final answer
    x = 10,052.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.