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Finding the Fourth Proportional to 13,423.10, 18,522.52 and 7,837.34

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Solution

The fourth proportional to 13,423.10, 18,522.52 and 7,837.34 is: 10,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.10 : 18,522.52 = 7,837.34 : x
  2. Step 2: Convert to fraction form
    13,423.10/18,522.52 = 7,837.34/x
  3. Step 3: Cross multiply
    13,423.10x = 18,522.52 × 7,837.34
  4. Step 4: Simplify right side
    13,423.10x = 145,167,174.69
  5. Step 5: Solve for x
    x = 145,167,174.69/13,423.10
  6. Step 6: Final answer
    x = 10,814.73

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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.