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Finding the Fourth Proportional to 14,161.71, 19,538.29 and 8,782.21

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Solution

The fourth proportional to 14,161.71, 19,538.29 and 8,782.21 is: 12,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.71 : 19,538.29 = 8,782.21 : x
  2. Step 2: Convert to fraction form
    14,161.71/19,538.29 = 8,782.21/x
  3. Step 3: Cross multiply
    14,161.71x = 19,538.29 × 8,782.21
  4. Step 4: Simplify right side
    14,161.71x = 171,589,365.82
  5. Step 5: Solve for x
    x = 171,589,365.82/14,161.71
  6. Step 6: Final answer
    x = 12,116.43

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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.