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Finding the Fourth Proportional to 14,381.23, 19,846.18 and 8,411.74

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Solution

The fourth proportional to 14,381.23, 19,846.18 and 8,411.74 is: 11,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.23 : 19,846.18 = 8,411.74 : x
  2. Step 2: Convert to fraction form
    14,381.23/19,846.18 = 8,411.74/x
  3. Step 3: Cross multiply
    14,381.23x = 19,846.18 × 8,411.74
  4. Step 4: Simplify right side
    14,381.23x = 166,940,906.15
  5. Step 5: Solve for x
    x = 166,940,906.15/14,381.23
  6. Step 6: Final answer
    x = 11,608.25

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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.