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Finding the Fourth Proportional to 12,259.49, 18,371.70 and 6,983.61

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Solution

The fourth proportional to 12,259.49, 18,371.70 and 6,983.61 is: 10,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.49 : 18,371.70 = 6,983.61 : x
  2. Step 2: Convert to fraction form
    12,259.49/18,371.70 = 6,983.61/x
  3. Step 3: Cross multiply
    12,259.49x = 18,371.70 × 6,983.61
  4. Step 4: Simplify right side
    12,259.49x = 128,300,787.84
  5. Step 5: Solve for x
    x = 128,300,787.84/12,259.49
  6. Step 6: Final answer
    x = 10,465.43

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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.