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Finding the Fourth Proportional to 14,706.56, 22,047.44 and 6,380.31

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Solution

The fourth proportional to 14,706.56, 22,047.44 and 6,380.31 is: 9,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.56 : 22,047.44 = 6,380.31 : x
  2. Step 2: Convert to fraction form
    14,706.56/22,047.44 = 6,380.31/x
  3. Step 3: Cross multiply
    14,706.56x = 22,047.44 × 6,380.31
  4. Step 4: Simplify right side
    14,706.56x = 140,669,588.57
  5. Step 5: Solve for x
    x = 140,669,588.57/14,706.56
  6. Step 6: Final answer
    x = 9,565.09

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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.