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Finding the Fourth Proportional to 17,981.70, 26,984.70 and 6,295.02

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Solution

The fourth proportional to 17,981.70, 26,984.70 and 6,295.02 is: 9,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.70 : 26,984.70 = 6,295.02 : x
  2. Step 2: Convert to fraction form
    17,981.70/26,984.70 = 6,295.02/x
  3. Step 3: Cross multiply
    17,981.70x = 26,984.70 × 6,295.02
  4. Step 4: Simplify right side
    17,981.70x = 169,869,226.19
  5. Step 5: Solve for x
    x = 169,869,226.19/17,981.70
  6. Step 6: Final answer
    x = 9,446.78

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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.