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Finding the Fourth Proportional to 13,663, 18,848.28 and 8,348.56

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Solution

The fourth proportional to 13,663, 18,848.28 and 8,348.56 is: 11,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663 : 18,848.28 = 8,348.56 : x
  2. Step 2: Convert to fraction form
    13,663/18,848.28 = 8,348.56/x
  3. Step 3: Cross multiply
    13,663x = 18,848.28 × 8,348.56
  4. Step 4: Simplify right side
    13,663x = 157,355,996.48
  5. Step 5: Solve for x
    x = 157,355,996.48/13,663
  6. Step 6: Final answer
    x = 11,516.94

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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.