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Finding the Fourth Proportional to 12,143.34, 16,758.54 and 8,103.24

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Solution

The fourth proportional to 12,143.34, 16,758.54 and 8,103.24 is: 11,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.34 : 16,758.54 = 8,103.24 : x
  2. Step 2: Convert to fraction form
    12,143.34/16,758.54 = 8,103.24/x
  3. Step 3: Cross multiply
    12,143.34x = 16,758.54 × 8,103.24
  4. Step 4: Simplify right side
    12,143.34x = 135,798,471.67
  5. Step 5: Solve for x
    x = 135,798,471.67/12,143.34
  6. Step 6: Final answer
    x = 11,182.96

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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.