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Finding the Fourth Proportional to 12,274.41, 16,938.69 and 6,685.41

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Solution

The fourth proportional to 12,274.41, 16,938.69 and 6,685.41 is: 9,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.41 : 16,938.69 = 6,685.41 : x
  2. Step 2: Convert to fraction form
    12,274.41/16,938.69 = 6,685.41/x
  3. Step 3: Cross multiply
    12,274.41x = 16,938.69 × 6,685.41
  4. Step 4: Simplify right side
    12,274.41x = 113,242,087.51
  5. Step 5: Solve for x
    x = 113,242,087.51/12,274.41
  6. Step 6: Final answer
    x = 9,225.87

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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.