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Finding the Fourth Proportional to 12,857.72, 17,744.94 and 7,270.52

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Solution

The fourth proportional to 12,857.72, 17,744.94 and 7,270.52 is: 10,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.72 : 17,744.94 = 7,270.52 : x
  2. Step 2: Convert to fraction form
    12,857.72/17,744.94 = 7,270.52/x
  3. Step 3: Cross multiply
    12,857.72x = 17,744.94 × 7,270.52
  4. Step 4: Simplify right side
    12,857.72x = 129,014,941.17
  5. Step 5: Solve for x
    x = 129,014,941.17/12,857.72
  6. Step 6: Final answer
    x = 10,034.05

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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.