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Finding the Fourth Proportional to 23,843, 32,903.43 and 13,234.16

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Solution

The fourth proportional to 23,843, 32,903.43 and 13,234.16 is: 18,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843 : 32,903.43 = 13,234.16 : x
  2. Step 2: Convert to fraction form
    23,843/32,903.43 = 13,234.16/x
  3. Step 3: Cross multiply
    23,843x = 32,903.43 × 13,234.16
  4. Step 4: Simplify right side
    23,843x = 435,449,257.17
  5. Step 5: Solve for x
    x = 435,449,257.17/23,843
  6. Step 6: Final answer
    x = 18,263.19

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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.