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Finding the Fourth Proportional to 17,933.46, 26,899.94 and 8,065.74

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Solution

The fourth proportional to 17,933.46, 26,899.94 and 8,065.74 is: 12,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,933.46 : 26,899.94 = 8,065.74 : x
  2. Step 2: Convert to fraction form
    17,933.46/26,899.94 = 8,065.74/x
  3. Step 3: Cross multiply
    17,933.46x = 26,899.94 × 8,065.74
  4. Step 4: Simplify right side
    17,933.46x = 216,967,881.73
  5. Step 5: Solve for x
    x = 216,967,881.73/17,933.46
  6. Step 6: Final answer
    x = 12,098.50

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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.