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Finding the Fourth Proportional to 17,815.22, 26,709.87 and 10,894.58

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Solution

The fourth proportional to 17,815.22, 26,709.87 and 10,894.58 is: 16,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815.22 : 26,709.87 = 10,894.58 : x
  2. Step 2: Convert to fraction form
    17,815.22/26,709.87 = 10,894.58/x
  3. Step 3: Cross multiply
    17,815.22x = 26,709.87 × 10,894.58
  4. Step 4: Simplify right side
    17,815.22x = 290,992,815.50
  5. Step 5: Solve for x
    x = 290,992,815.50/17,815.22
  6. Step 6: Final answer
    x = 16,333.94

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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.