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Finding the Fourth Proportional to 12,849.14, 17,736 and 7,543.82

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Solution

The fourth proportional to 12,849.14, 17,736 and 7,543.82 is: 10,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.14 : 17,736 = 7,543.82 : x
  2. Step 2: Convert to fraction form
    12,849.14/17,736 = 7,543.82/x
  3. Step 3: Cross multiply
    12,849.14x = 17,736 × 7,543.82
  4. Step 4: Simplify right side
    12,849.14x = 133,797,191.52
  5. Step 5: Solve for x
    x = 133,797,191.52/12,849.14
  6. Step 6: Final answer
    x = 10,412.93

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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.