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Finding the Fourth Proportional to 20,873.81, 31,324.29 and 9,039.14

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Solution

The fourth proportional to 20,873.81, 31,324.29 and 9,039.14 is: 13,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.81 : 31,324.29 = 9,039.14 : x
  2. Step 2: Convert to fraction form
    20,873.81/31,324.29 = 9,039.14/x
  3. Step 3: Cross multiply
    20,873.81x = 31,324.29 × 9,039.14
  4. Step 4: Simplify right side
    20,873.81x = 283,144,597.51
  5. Step 5: Solve for x
    x = 283,144,597.51/20,873.81
  6. Step 6: Final answer
    x = 13,564.59

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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.