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Finding the Fourth Proportional to 12,796.65, 17,658.84 and 7,131.10

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Solution

The fourth proportional to 12,796.65, 17,658.84 and 7,131.10 is: 9,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.65 : 17,658.84 = 7,131.10 : x
  2. Step 2: Convert to fraction form
    12,796.65/17,658.84 = 7,131.10/x
  3. Step 3: Cross multiply
    12,796.65x = 17,658.84 × 7,131.10
  4. Step 4: Simplify right side
    12,796.65x = 125,926,953.92
  5. Step 5: Solve for x
    x = 125,926,953.92/12,796.65
  6. Step 6: Final answer
    x = 9,840.62

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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.