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Finding the Fourth Proportional to 19,142.50, 26,405.64 and 11,959.96

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Solution

The fourth proportional to 19,142.50, 26,405.64 and 11,959.96 is: 16,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.50 : 26,405.64 = 11,959.96 : x
  2. Step 2: Convert to fraction form
    19,142.50/26,405.64 = 11,959.96/x
  3. Step 3: Cross multiply
    19,142.50x = 26,405.64 × 11,959.96
  4. Step 4: Simplify right side
    19,142.50x = 315,810,398.17
  5. Step 5: Solve for x
    x = 315,810,398.17/19,142.50
  6. Step 6: Final answer
    x = 16,497.87

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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.