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Finding the Fourth Proportional to 12,142, 16,749.48 and 8,156.28

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Solution

The fourth proportional to 12,142, 16,749.48 and 8,156.28 is: 11,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142 : 16,749.48 = 8,156.28 : x
  2. Step 2: Convert to fraction form
    12,142/16,749.48 = 8,156.28/x
  3. Step 3: Cross multiply
    12,142x = 16,749.48 × 8,156.28
  4. Step 4: Simplify right side
    12,142x = 136,613,448.73
  5. Step 5: Solve for x
    x = 136,613,448.73/12,142
  6. Step 6: Final answer
    x = 11,251.31

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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.