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Finding the Fourth Proportional to 17,678.54, 26,482.29 and 8,177.54

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Solution

The fourth proportional to 17,678.54, 26,482.29 and 8,177.54 is: 12,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.54 : 26,482.29 = 8,177.54 : x
  2. Step 2: Convert to fraction form
    17,678.54/26,482.29 = 8,177.54/x
  3. Step 3: Cross multiply
    17,678.54x = 26,482.29 × 8,177.54
  4. Step 4: Simplify right side
    17,678.54x = 216,560,017.65
  5. Step 5: Solve for x
    x = 216,560,017.65/17,678.54
  6. Step 6: Final answer
    x = 12,249.88

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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.