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Finding the Fourth Proportional to 20,982.09, 31,495.02 and 9,303.51

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Solution

The fourth proportional to 20,982.09, 31,495.02 and 9,303.51 is: 13,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.09 : 31,495.02 = 9,303.51 : x
  2. Step 2: Convert to fraction form
    20,982.09/31,495.02 = 9,303.51/x
  3. Step 3: Cross multiply
    20,982.09x = 31,495.02 × 9,303.51
  4. Step 4: Simplify right side
    20,982.09x = 293,014,233.52
  5. Step 5: Solve for x
    x = 293,014,233.52/20,982.09
  6. Step 6: Final answer
    x = 13,964.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.