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Finding the Fourth Proportional to 14,382.96, 19,847.94 and 8,009.82

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Solution

The fourth proportional to 14,382.96, 19,847.94 and 8,009.82 is: 11,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.96 : 19,847.94 = 8,009.82 : x
  2. Step 2: Convert to fraction form
    14,382.96/19,847.94 = 8,009.82/x
  3. Step 3: Cross multiply
    14,382.96x = 19,847.94 × 8,009.82
  4. Step 4: Simplify right side
    14,382.96x = 158,978,426.77
  5. Step 5: Solve for x
    x = 158,978,426.77/14,382.96
  6. Step 6: Final answer
    x = 11,053.25

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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.