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Finding the Fourth Proportional to 14,200.96, 19,596.48 and 8,232.16

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Solution

The fourth proportional to 14,200.96, 19,596.48 and 8,232.16 is: 11,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.96 : 19,596.48 = 8,232.16 : x
  2. Step 2: Convert to fraction form
    14,200.96/19,596.48 = 8,232.16/x
  3. Step 3: Cross multiply
    14,200.96x = 19,596.48 × 8,232.16
  4. Step 4: Simplify right side
    14,200.96x = 161,321,358.80
  5. Step 5: Solve for x
    x = 161,321,358.80/14,200.96
  6. Step 6: Final answer
    x = 11,359.89

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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.