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Finding the Fourth Proportional to 12,580.49, 18,853.04 and 9,936.38

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Solution

The fourth proportional to 12,580.49, 18,853.04 and 9,936.38 is: 14,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.49 : 18,853.04 = 9,936.38 : x
  2. Step 2: Convert to fraction form
    12,580.49/18,853.04 = 9,936.38/x
  3. Step 3: Cross multiply
    12,580.49x = 18,853.04 × 9,936.38
  4. Step 4: Simplify right side
    12,580.49x = 187,331,041.57
  5. Step 5: Solve for x
    x = 187,331,041.57/12,580.49
  6. Step 6: Final answer
    x = 14,890.60

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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.