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Finding the Fourth Proportional to 12,927.09, 17,838.09 and 7,262.49

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Solution

The fourth proportional to 12,927.09, 17,838.09 and 7,262.49 is: 10,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.09 : 17,838.09 = 7,262.49 : x
  2. Step 2: Convert to fraction form
    12,927.09/17,838.09 = 7,262.49/x
  3. Step 3: Cross multiply
    12,927.09x = 17,838.09 × 7,262.49
  4. Step 4: Simplify right side
    12,927.09x = 129,548,950.24
  5. Step 5: Solve for x
    x = 129,548,950.24/12,927.09
  6. Step 6: Final answer
    x = 10,021.51

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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.