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Finding the Fourth Proportional to 12,536.47, 17,313.24 and 10,849.78

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Solution

The fourth proportional to 12,536.47, 17,313.24 and 10,849.78 is: 14,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.47 : 17,313.24 = 10,849.78 : x
  2. Step 2: Convert to fraction form
    12,536.47/17,313.24 = 10,849.78/x
  3. Step 3: Cross multiply
    12,536.47x = 17,313.24 × 10,849.78
  4. Step 4: Simplify right side
    12,536.47x = 187,844,845.09
  5. Step 5: Solve for x
    x = 187,844,845.09/12,536.47
  6. Step 6: Final answer
    x = 14,983.87

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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.