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Finding the Fourth Proportional to 20,674.40, 31,009.20 and 5,885.60

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Solution

The fourth proportional to 20,674.40, 31,009.20 and 5,885.60 is: 8,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.40 : 31,009.20 = 5,885.60 : x
  2. Step 2: Convert to fraction form
    20,674.40/31,009.20 = 5,885.60/x
  3. Step 3: Cross multiply
    20,674.40x = 31,009.20 × 5,885.60
  4. Step 4: Simplify right side
    20,674.40x = 182,507,747.52
  5. Step 5: Solve for x
    x = 182,507,747.52/20,674.40
  6. Step 6: Final answer
    x = 8,827.72

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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.