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Finding the Fourth Proportional to 12,658.56, 17,463.19 and 8,182.69

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Solution

The fourth proportional to 12,658.56, 17,463.19 and 8,182.69 is: 11,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.56 : 17,463.19 = 8,182.69 : x
  2. Step 2: Convert to fraction form
    12,658.56/17,463.19 = 8,182.69/x
  3. Step 3: Cross multiply
    12,658.56x = 17,463.19 × 8,182.69
  4. Step 4: Simplify right side
    12,658.56x = 142,895,870.18
  5. Step 5: Solve for x
    x = 142,895,870.18/12,658.56
  6. Step 6: Final answer
    x = 11,288.48

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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.