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Finding the Fourth Proportional to 14,153.70, 19,530.81 and 8,185.23

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Solution

The fourth proportional to 14,153.70, 19,530.81 and 8,185.23 is: 11,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.70 : 19,530.81 = 8,185.23 : x
  2. Step 2: Convert to fraction form
    14,153.70/19,530.81 = 8,185.23/x
  3. Step 3: Cross multiply
    14,153.70x = 19,530.81 × 8,185.23
  4. Step 4: Simplify right side
    14,153.70x = 159,864,171.94
  5. Step 5: Solve for x
    x = 159,864,171.94/14,153.70
  6. Step 6: Final answer
    x = 11,294.87

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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.