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Finding the Fourth Proportional to 13,631.84, 18,796.16 and 9,385.16

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Solution

The fourth proportional to 13,631.84, 18,796.16 and 9,385.16 is: 12,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631.84 : 18,796.16 = 9,385.16 : x
  2. Step 2: Convert to fraction form
    13,631.84/18,796.16 = 9,385.16/x
  3. Step 3: Cross multiply
    13,631.84x = 18,796.16 × 9,385.16
  4. Step 4: Simplify right side
    13,631.84x = 176,404,968.99
  5. Step 5: Solve for x
    x = 176,404,968.99/13,631.84
  6. Step 6: Final answer
    x = 12,940.66

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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.