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Finding the Fourth Proportional to 14,131.46, 19,502.43 and 7,843.79

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Solution

The fourth proportional to 14,131.46, 19,502.43 and 7,843.79 is: 10,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.46 : 19,502.43 = 7,843.79 : x
  2. Step 2: Convert to fraction form
    14,131.46/19,502.43 = 7,843.79/x
  3. Step 3: Cross multiply
    14,131.46x = 19,502.43 × 7,843.79
  4. Step 4: Simplify right side
    14,131.46x = 152,972,965.41
  5. Step 5: Solve for x
    x = 152,972,965.41/14,131.46
  6. Step 6: Final answer
    x = 10,824.99

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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.