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Finding the Fourth Proportional to 12,250.38, 16,905.87 and 7,214.94

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Solution

The fourth proportional to 12,250.38, 16,905.87 and 7,214.94 is: 9,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,250.38 : 16,905.87 = 7,214.94 : x
  2. Step 2: Convert to fraction form
    12,250.38/16,905.87 = 7,214.94/x
  3. Step 3: Cross multiply
    12,250.38x = 16,905.87 × 7,214.94
  4. Step 4: Simplify right side
    12,250.38x = 121,974,837.70
  5. Step 5: Solve for x
    x = 121,974,837.70/12,250.38
  6. Step 6: Final answer
    x = 9,956.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.