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Finding the Fourth Proportional to 12,839.42, 17,727.12 and 8,313.01

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Solution

The fourth proportional to 12,839.42, 17,727.12 and 8,313.01 is: 11,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.42 : 17,727.12 = 8,313.01 : x
  2. Step 2: Convert to fraction form
    12,839.42/17,727.12 = 8,313.01/x
  3. Step 3: Cross multiply
    12,839.42x = 17,727.12 × 8,313.01
  4. Step 4: Simplify right side
    12,839.42x = 147,365,595.63
  5. Step 5: Solve for x
    x = 147,365,595.63/12,839.42
  6. Step 6: Final answer
    x = 11,477.59

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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.