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Finding the Fourth Proportional to 13,073.94, 19,586.34 and 6,492.42

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Solution

The fourth proportional to 13,073.94, 19,586.34 and 6,492.42 is: 9,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.94 : 19,586.34 = 6,492.42 : x
  2. Step 2: Convert to fraction form
    13,073.94/19,586.34 = 6,492.42/x
  3. Step 3: Cross multiply
    13,073.94x = 19,586.34 × 6,492.42
  4. Step 4: Simplify right side
    13,073.94x = 127,162,745.54
  5. Step 5: Solve for x
    x = 127,162,745.54/13,073.94
  6. Step 6: Final answer
    x = 9,726.43

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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.