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Finding the Fourth Proportional to 14,322.39, 21,426.15 and 11,862

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Solution

The fourth proportional to 14,322.39, 21,426.15 and 11,862 is: 17,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.39 : 21,426.15 = 11,862 : x
  2. Step 2: Convert to fraction form
    14,322.39/21,426.15 = 11,862/x
  3. Step 3: Cross multiply
    14,322.39x = 21,426.15 × 11,862
  4. Step 4: Simplify right side
    14,322.39x = 254,156,991.30
  5. Step 5: Solve for x
    x = 254,156,991.30/14,322.39
  6. Step 6: Final answer
    x = 17,745.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.