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Finding the Fourth Proportional to 14,199.76, 19,596.36 and 8,230.36

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Solution

The fourth proportional to 14,199.76, 19,596.36 and 8,230.36 is: 11,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199.76 : 19,596.36 = 8,230.36 : x
  2. Step 2: Convert to fraction form
    14,199.76/19,596.36 = 8,230.36/x
  3. Step 3: Cross multiply
    14,199.76x = 19,596.36 × 8,230.36
  4. Step 4: Simplify right side
    14,199.76x = 161,285,097.49
  5. Step 5: Solve for x
    x = 161,285,097.49/14,199.76
  6. Step 6: Final answer
    x = 11,358.30

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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.