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Finding the Fourth Proportional to 14,256.94, 19,674.29 and 7,883.75

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Solution

The fourth proportional to 14,256.94, 19,674.29 and 7,883.75 is: 10,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.94 : 19,674.29 = 7,883.75 : x
  2. Step 2: Convert to fraction form
    14,256.94/19,674.29 = 7,883.75/x
  3. Step 3: Cross multiply
    14,256.94x = 19,674.29 × 7,883.75
  4. Step 4: Simplify right side
    14,256.94x = 155,107,183.79
  5. Step 5: Solve for x
    x = 155,107,183.79/14,256.94
  6. Step 6: Final answer
    x = 10,879.42

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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.