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Finding the Fourth Proportional to 20,704.56, 31,038.56 and 8,233.36

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Solution

The fourth proportional to 20,704.56, 31,038.56 and 8,233.36 is: 12,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.56 : 31,038.56 = 8,233.36 : x
  2. Step 2: Convert to fraction form
    20,704.56/31,038.56 = 8,233.36/x
  3. Step 3: Cross multiply
    20,704.56x = 31,038.56 × 8,233.36
  4. Step 4: Simplify right side
    20,704.56x = 255,551,638.36
  5. Step 5: Solve for x
    x = 255,551,638.36/20,704.56
  6. Step 6: Final answer
    x = 12,342.77

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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.