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Finding the Fourth Proportional to 14,586.72, 20,124.96 and 8,297.84

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Solution

The fourth proportional to 14,586.72, 20,124.96 and 8,297.84 is: 11,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.72 : 20,124.96 = 8,297.84 : x
  2. Step 2: Convert to fraction form
    14,586.72/20,124.96 = 8,297.84/x
  3. Step 3: Cross multiply
    14,586.72x = 20,124.96 × 8,297.84
  4. Step 4: Simplify right side
    14,586.72x = 166,993,698.09
  5. Step 5: Solve for x
    x = 166,993,698.09/14,586.72
  6. Step 6: Final answer
    x = 11,448.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.