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Finding the Fourth Proportional to 14,108.43, 19,464.62 and 8,141.61

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Solution

The fourth proportional to 14,108.43, 19,464.62 and 8,141.61 is: 11,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.43 : 19,464.62 = 8,141.61 : x
  2. Step 2: Convert to fraction form
    14,108.43/19,464.62 = 8,141.61/x
  3. Step 3: Cross multiply
    14,108.43x = 19,464.62 × 8,141.61
  4. Step 4: Simplify right side
    14,108.43x = 158,473,304.13
  5. Step 5: Solve for x
    x = 158,473,304.13/14,108.43
  6. Step 6: Final answer
    x = 11,232.53

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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.