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Finding the Fourth Proportional to 12,983.96, 19,387.43 and 10,321.49

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Solution

The fourth proportional to 12,983.96, 19,387.43 and 10,321.49 is: 15,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.96 : 19,387.43 = 10,321.49 : x
  2. Step 2: Convert to fraction form
    12,983.96/19,387.43 = 10,321.49/x
  3. Step 3: Cross multiply
    12,983.96x = 19,387.43 × 10,321.49
  4. Step 4: Simplify right side
    12,983.96x = 200,107,258.50
  5. Step 5: Solve for x
    x = 200,107,258.50/12,983.96
  6. Step 6: Final answer
    x = 15,411.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.