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Finding the Fourth Proportional to 34,514.56, 51,769.98 and 11,141

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Solution

The fourth proportional to 34,514.56, 51,769.98 and 11,141 is: 16,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514.56 : 51,769.98 = 11,141 : x
  2. Step 2: Convert to fraction form
    34,514.56/51,769.98 = 11,141/x
  3. Step 3: Cross multiply
    34,514.56x = 51,769.98 × 11,141
  4. Step 4: Simplify right side
    34,514.56x = 576,769,347.18
  5. Step 5: Solve for x
    x = 576,769,347.18/34,514.56
  6. Step 6: Final answer
    x = 16,710.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.