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Finding the Fourth Proportional to 14,202.72, 19,599.41 and 8,234.04

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Solution

The fourth proportional to 14,202.72, 19,599.41 and 8,234.04 is: 11,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.72 : 19,599.41 = 8,234.04 : x
  2. Step 2: Convert to fraction form
    14,202.72/19,599.41 = 8,234.04/x
  3. Step 3: Cross multiply
    14,202.72x = 19,599.41 × 8,234.04
  4. Step 4: Simplify right side
    14,202.72x = 161,382,284.75
  5. Step 5: Solve for x
    x = 161,382,284.75/14,202.72
  6. Step 6: Final answer
    x = 11,362.77

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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.