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Finding the Fourth Proportional to 13,214.82, 18,237 and 7,246.71

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Solution

The fourth proportional to 13,214.82, 18,237 and 7,246.71 is: 10,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.82 : 18,237 = 7,246.71 : x
  2. Step 2: Convert to fraction form
    13,214.82/18,237 = 7,246.71/x
  3. Step 3: Cross multiply
    13,214.82x = 18,237 × 7,246.71
  4. Step 4: Simplify right side
    13,214.82x = 132,158,250.27
  5. Step 5: Solve for x
    x = 132,158,250.27/13,214.82
  6. Step 6: Final answer
    x = 10,000.76

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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.