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Finding the Fourth Proportional to 20,947.56, 31,417.56 and 8,467.08

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Solution

The fourth proportional to 20,947.56, 31,417.56 and 8,467.08 is: 12,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,947.56 : 31,417.56 = 8,467.08 : x
  2. Step 2: Convert to fraction form
    20,947.56/31,417.56 = 8,467.08/x
  3. Step 3: Cross multiply
    20,947.56x = 31,417.56 × 8,467.08
  4. Step 4: Simplify right side
    20,947.56x = 266,014,993.92
  5. Step 5: Solve for x
    x = 266,014,993.92/20,947.56
  6. Step 6: Final answer
    x = 12,699.09

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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.