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Finding the Fourth Proportional to 13,506.34, 18,635.76 and 7,837.80

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Solution

The fourth proportional to 13,506.34, 18,635.76 and 7,837.80 is: 10,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.34 : 18,635.76 = 7,837.80 : x
  2. Step 2: Convert to fraction form
    13,506.34/18,635.76 = 7,837.80/x
  3. Step 3: Cross multiply
    13,506.34x = 18,635.76 × 7,837.80
  4. Step 4: Simplify right side
    13,506.34x = 146,063,359.73
  5. Step 5: Solve for x
    x = 146,063,359.73/13,506.34
  6. Step 6: Final answer
    x = 10,814.43

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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.