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Finding the Fourth Proportional to 23,086.98, 31,874.85 and 14,484.96

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Solution

The fourth proportional to 23,086.98, 31,874.85 and 14,484.96 is: 19,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.98 : 31,874.85 = 14,484.96 : x
  2. Step 2: Convert to fraction form
    23,086.98/31,874.85 = 14,484.96/x
  3. Step 3: Cross multiply
    23,086.98x = 31,874.85 × 14,484.96
  4. Step 4: Simplify right side
    23,086.98x = 461,705,927.26
  5. Step 5: Solve for x
    x = 461,705,927.26/23,086.98
  6. Step 6: Final answer
    x = 19,998.54

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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.