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Finding the Fourth Proportional to 13,238.94, 18,270.04 and 7,271

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Solution

The fourth proportional to 13,238.94, 18,270.04 and 7,271 is: 10,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.94 : 18,270.04 = 7,271 : x
  2. Step 2: Convert to fraction form
    13,238.94/18,270.04 = 7,271/x
  3. Step 3: Cross multiply
    13,238.94x = 18,270.04 × 7,271
  4. Step 4: Simplify right side
    13,238.94x = 132,841,460.84
  5. Step 5: Solve for x
    x = 132,841,460.84/13,238.94
  6. Step 6: Final answer
    x = 10,034.15

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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.