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Finding the Fourth Proportional to 20,867.72, 31,302.72 and 5,285.48

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Solution

The fourth proportional to 20,867.72, 31,302.72 and 5,285.48 is: 7,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.72 : 31,302.72 = 5,285.48 : x
  2. Step 2: Convert to fraction form
    20,867.72/31,302.72 = 5,285.48/x
  3. Step 3: Cross multiply
    20,867.72x = 31,302.72 × 5,285.48
  4. Step 4: Simplify right side
    20,867.72x = 165,449,900.51
  5. Step 5: Solve for x
    x = 165,449,900.51/20,867.72
  6. Step 6: Final answer
    x = 7,928.51

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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.