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Finding the Fourth Proportional to 17,878.12, 26,814.14 and 4,731.82

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Solution

The fourth proportional to 17,878.12, 26,814.14 and 4,731.82 is: 7,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.12 : 26,814.14 = 4,731.82 : x
  2. Step 2: Convert to fraction form
    17,878.12/26,814.14 = 4,731.82/x
  3. Step 3: Cross multiply
    17,878.12x = 26,814.14 × 4,731.82
  4. Step 4: Simplify right side
    17,878.12x = 126,879,610.98
  5. Step 5: Solve for x
    x = 126,879,610.98/17,878.12
  6. Step 6: Final answer
    x = 7,096.92

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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.