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Finding the Fourth Proportional to 23,814.84, 32,863.41 and 13,745.07

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Solution

The fourth proportional to 23,814.84, 32,863.41 and 13,745.07 is: 18,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.84 : 32,863.41 = 13,745.07 : x
  2. Step 2: Convert to fraction form
    23,814.84/32,863.41 = 13,745.07/x
  3. Step 3: Cross multiply
    23,814.84x = 32,863.41 × 13,745.07
  4. Step 4: Simplify right side
    23,814.84x = 451,709,870.89
  5. Step 5: Solve for x
    x = 451,709,870.89/23,814.84
  6. Step 6: Final answer
    x = 18,967.58

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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.