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Finding the Fourth Proportional to 12,809.70, 17,677.48 and 7,144.82

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Solution

The fourth proportional to 12,809.70, 17,677.48 and 7,144.82 is: 9,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.70 : 17,677.48 = 7,144.82 : x
  2. Step 2: Convert to fraction form
    12,809.70/17,677.48 = 7,144.82/x
  3. Step 3: Cross multiply
    12,809.70x = 17,677.48 × 7,144.82
  4. Step 4: Simplify right side
    12,809.70x = 126,302,412.65
  5. Step 5: Solve for x
    x = 126,302,412.65/12,809.70
  6. Step 6: Final answer
    x = 9,859.90

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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.