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Finding the Fourth Proportional to 19,321.50, 28,971.60 and 5,990.81

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Solution

The fourth proportional to 19,321.50, 28,971.60 and 5,990.81 is: 8,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321.50 : 28,971.60 = 5,990.81 : x
  2. Step 2: Convert to fraction form
    19,321.50/28,971.60 = 5,990.81/x
  3. Step 3: Cross multiply
    19,321.50x = 28,971.60 × 5,990.81
  4. Step 4: Simplify right side
    19,321.50x = 173,563,206.14
  5. Step 5: Solve for x
    x = 173,563,206.14/19,321.50
  6. Step 6: Final answer
    x = 8,982.91

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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.