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Finding the Fourth Proportional to 12,892.80, 19,344.60 and 9,634.18

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Solution

The fourth proportional to 12,892.80, 19,344.60 and 9,634.18 is: 14,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.80 : 19,344.60 = 9,634.18 : x
  2. Step 2: Convert to fraction form
    12,892.80/19,344.60 = 9,634.18/x
  3. Step 3: Cross multiply
    12,892.80x = 19,344.60 × 9,634.18
  4. Step 4: Simplify right side
    12,892.80x = 186,369,358.43
  5. Step 5: Solve for x
    x = 186,369,358.43/12,892.80
  6. Step 6: Final answer
    x = 14,455.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.