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Finding the Fourth Proportional to 14,378.18, 19,847.23 and 8,411.72

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Solution

The fourth proportional to 14,378.18, 19,847.23 and 8,411.72 is: 11,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.18 : 19,847.23 = 8,411.72 : x
  2. Step 2: Convert to fraction form
    14,378.18/19,847.23 = 8,411.72/x
  3. Step 3: Cross multiply
    14,378.18x = 19,847.23 × 8,411.72
  4. Step 4: Simplify right side
    14,378.18x = 166,949,221.27
  5. Step 5: Solve for x
    x = 166,949,221.27/14,378.18
  6. Step 6: Final answer
    x = 11,611.29

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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.