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Finding the Fourth Proportional to 12,963.84, 17,914.32 and 10,605.12

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Solution

The fourth proportional to 12,963.84, 17,914.32 and 10,605.12 is: 14,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.84 : 17,914.32 = 10,605.12 : x
  2. Step 2: Convert to fraction form
    12,963.84/17,914.32 = 10,605.12/x
  3. Step 3: Cross multiply
    12,963.84x = 17,914.32 × 10,605.12
  4. Step 4: Simplify right side
    12,963.84x = 189,983,513.32
  5. Step 5: Solve for x
    x = 189,983,513.32/12,963.84
  6. Step 6: Final answer
    x = 14,654.88

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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.