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Finding the Fourth Proportional to 12,754.65, 19,135.76 and 6,096.12

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Solution

The fourth proportional to 12,754.65, 19,135.76 and 6,096.12 is: 9,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.65 : 19,135.76 = 6,096.12 : x
  2. Step 2: Convert to fraction form
    12,754.65/19,135.76 = 6,096.12/x
  3. Step 3: Cross multiply
    12,754.65x = 19,135.76 × 6,096.12
  4. Step 4: Simplify right side
    12,754.65x = 116,653,858.77
  5. Step 5: Solve for x
    x = 116,653,858.77/12,754.65
  6. Step 6: Final answer
    x = 9,145.99

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Why These Related Problems?

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