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Finding the Fourth Proportional to 13,663.42, 18,855.80 and 8,285.83

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Solution

The fourth proportional to 13,663.42, 18,855.80 and 8,285.83 is: 11,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.42 : 18,855.80 = 8,285.83 : x
  2. Step 2: Convert to fraction form
    13,663.42/18,855.80 = 8,285.83/x
  3. Step 3: Cross multiply
    13,663.42x = 18,855.80 × 8,285.83
  4. Step 4: Simplify right side
    13,663.42x = 156,235,953.31
  5. Step 5: Solve for x
    x = 156,235,953.31/13,663.42
  6. Step 6: Final answer
    x = 11,434.62

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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.