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Finding the Fourth Proportional to 23,185.95, 31,959.27 and 18,142.08

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Solution

The fourth proportional to 23,185.95, 31,959.27 and 18,142.08 is: 25,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.95 : 31,959.27 = 18,142.08 : x
  2. Step 2: Convert to fraction form
    23,185.95/31,959.27 = 18,142.08/x
  3. Step 3: Cross multiply
    23,185.95x = 31,959.27 × 18,142.08
  4. Step 4: Simplify right side
    23,185.95x = 579,807,633.08
  5. Step 5: Solve for x
    x = 579,807,633.08/23,185.95
  6. Step 6: Final answer
    x = 25,006.85

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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.