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Finding the Fourth Proportional to 12,758.34, 19,138.32 and 3,995.76

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Solution

The fourth proportional to 12,758.34, 19,138.32 and 3,995.76 is: 5,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.34 : 19,138.32 = 3,995.76 : x
  2. Step 2: Convert to fraction form
    12,758.34/19,138.32 = 3,995.76/x
  3. Step 3: Cross multiply
    12,758.34x = 19,138.32 × 3,995.76
  4. Step 4: Simplify right side
    12,758.34x = 76,472,133.52
  5. Step 5: Solve for x
    x = 76,472,133.52/12,758.34
  6. Step 6: Final answer
    x = 5,993.89

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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.