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Finding the Fourth Proportional to 14,200.82, 19,596.76 and 8,150.90

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Solution

The fourth proportional to 14,200.82, 19,596.76 and 8,150.90 is: 11,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.82 : 19,596.76 = 8,150.90 : x
  2. Step 2: Convert to fraction form
    14,200.82/19,596.76 = 8,150.90/x
  3. Step 3: Cross multiply
    14,200.82x = 19,596.76 × 8,150.90
  4. Step 4: Simplify right side
    14,200.82x = 159,731,231.08
  5. Step 5: Solve for x
    x = 159,731,231.08/14,200.82
  6. Step 6: Final answer
    x = 11,248.03

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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.