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Finding the Fourth Proportional to 20,673.40, 31,009.24 and 8,822.28

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Solution

The fourth proportional to 20,673.40, 31,009.24 and 8,822.28 is: 13,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.40 : 31,009.24 = 8,822.28 : x
  2. Step 2: Convert to fraction form
    20,673.40/31,009.24 = 8,822.28/x
  3. Step 3: Cross multiply
    20,673.40x = 31,009.24 × 8,822.28
  4. Step 4: Simplify right side
    20,673.40x = 273,572,197.87
  5. Step 5: Solve for x
    x = 273,572,197.87/20,673.40
  6. Step 6: Final answer
    x = 13,233.05

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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.