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Finding the Fourth Proportional to 12,811.95, 19,223.37 and 6,238.17

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Solution

The fourth proportional to 12,811.95, 19,223.37 and 6,238.17 is: 9,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.95 : 19,223.37 = 6,238.17 : x
  2. Step 2: Convert to fraction form
    12,811.95/19,223.37 = 6,238.17/x
  3. Step 3: Cross multiply
    12,811.95x = 19,223.37 × 6,238.17
  4. Step 4: Simplify right side
    12,811.95x = 119,918,650.03
  5. Step 5: Solve for x
    x = 119,918,650.03/12,811.95
  6. Step 6: Final answer
    x = 9,359.91

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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.