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Finding the Fourth Proportional to 13,238.40, 18,270.50 and 7,270.62

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Solution

The fourth proportional to 13,238.40, 18,270.50 and 7,270.62 is: 10,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.40 : 18,270.50 = 7,270.62 : x
  2. Step 2: Convert to fraction form
    13,238.40/18,270.50 = 7,270.62/x
  3. Step 3: Cross multiply
    13,238.40x = 18,270.50 × 7,270.62
  4. Step 4: Simplify right side
    13,238.40x = 132,837,862.71
  5. Step 5: Solve for x
    x = 132,837,862.71/13,238.40
  6. Step 6: Final answer
    x = 10,034.28

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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.