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Finding the Fourth Proportional to 23,181.98, 31,967.08 and 19,835.87

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Solution

The fourth proportional to 23,181.98, 31,967.08 and 19,835.87 is: 27,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181.98 : 31,967.08 = 19,835.87 : x
  2. Step 2: Convert to fraction form
    23,181.98/31,967.08 = 19,835.87/x
  3. Step 3: Cross multiply
    23,181.98x = 31,967.08 × 19,835.87
  4. Step 4: Simplify right side
    23,181.98x = 634,094,633.73
  5. Step 5: Solve for x
    x = 634,094,633.73/23,181.98
  6. Step 6: Final answer
    x = 27,352.92

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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.