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Finding the Fourth Proportional to 13,644.64, 18,821.10 and 9,388.36

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Solution

The fourth proportional to 13,644.64, 18,821.10 and 9,388.36 is: 12,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.64 : 18,821.10 = 9,388.36 : x
  2. Step 2: Convert to fraction form
    13,644.64/18,821.10 = 9,388.36/x
  3. Step 3: Cross multiply
    13,644.64x = 18,821.10 × 9,388.36
  4. Step 4: Simplify right side
    13,644.64x = 176,699,262.40
  5. Step 5: Solve for x
    x = 176,699,262.40/13,644.64
  6. Step 6: Final answer
    x = 12,950.09

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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.