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Finding the Fourth Proportional to 17,800.94, 26,708.78 and 7,800.52

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Solution

The fourth proportional to 17,800.94, 26,708.78 and 7,800.52 is: 11,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.94 : 26,708.78 = 7,800.52 : x
  2. Step 2: Convert to fraction form
    17,800.94/26,708.78 = 7,800.52/x
  3. Step 3: Cross multiply
    17,800.94x = 26,708.78 × 7,800.52
  4. Step 4: Simplify right side
    17,800.94x = 208,342,372.57
  5. Step 5: Solve for x
    x = 208,342,372.57/17,800.94
  6. Step 6: Final answer
    x = 11,704.01

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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.