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Finding the Fourth Proportional to 15,228.96, 22,840.31 and 5,865.77

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Solution

The fourth proportional to 15,228.96, 22,840.31 and 5,865.77 is: 8,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.96 : 22,840.31 = 5,865.77 : x
  2. Step 2: Convert to fraction form
    15,228.96/22,840.31 = 5,865.77/x
  3. Step 3: Cross multiply
    15,228.96x = 22,840.31 × 5,865.77
  4. Step 4: Simplify right side
    15,228.96x = 133,975,861.66
  5. Step 5: Solve for x
    x = 133,975,861.66/15,228.96
  6. Step 6: Final answer
    x = 8,797.44

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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.