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Finding the Fourth Proportional to 14,382.34, 19,847.76 and 8,009.26

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Solution

The fourth proportional to 14,382.34, 19,847.76 and 8,009.26 is: 11,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.34 : 19,847.76 = 8,009.26 : x
  2. Step 2: Convert to fraction form
    14,382.34/19,847.76 = 8,009.26/x
  3. Step 3: Cross multiply
    14,382.34x = 19,847.76 × 8,009.26
  4. Step 4: Simplify right side
    14,382.34x = 158,965,870.26
  5. Step 5: Solve for x
    x = 158,965,870.26/14,382.34
  6. Step 6: Final answer
    x = 11,052.85

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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.