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Finding the Fourth Proportional to 14,021.94, 19,350.24 and 8,054

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Solution

The fourth proportional to 14,021.94, 19,350.24 and 8,054 is: 11,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.94 : 19,350.24 = 8,054 : x
  2. Step 2: Convert to fraction form
    14,021.94/19,350.24 = 8,054/x
  3. Step 3: Cross multiply
    14,021.94x = 19,350.24 × 8,054
  4. Step 4: Simplify right side
    14,021.94x = 155,846,832.96
  5. Step 5: Solve for x
    x = 155,846,832.96/14,021.94
  6. Step 6: Final answer
    x = 11,114.50

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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.