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Finding the Fourth Proportional to 17,907.65, 26,873.13 and 6,814.43

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Solution

The fourth proportional to 17,907.65, 26,873.13 and 6,814.43 is: 10,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.65 : 26,873.13 = 6,814.43 : x
  2. Step 2: Convert to fraction form
    17,907.65/26,873.13 = 6,814.43/x
  3. Step 3: Cross multiply
    17,907.65x = 26,873.13 × 6,814.43
  4. Step 4: Simplify right side
    17,907.65x = 183,125,063.27
  5. Step 5: Solve for x
    x = 183,125,063.27/17,907.65
  6. Step 6: Final answer
    x = 10,226.08

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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.