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Finding the Fourth Proportional to 12,857.20, 17,741.16 and 7,191.65

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Solution

The fourth proportional to 12,857.20, 17,741.16 and 7,191.65 is: 9,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.20 : 17,741.16 = 7,191.65 : x
  2. Step 2: Convert to fraction form
    12,857.20/17,741.16 = 7,191.65/x
  3. Step 3: Cross multiply
    12,857.20x = 17,741.16 × 7,191.65
  4. Step 4: Simplify right side
    12,857.20x = 127,588,257.67
  5. Step 5: Solve for x
    x = 127,588,257.67/12,857.20
  6. Step 6: Final answer
    x = 9,923.49

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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.