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Finding the Fourth Proportional to 14,378.11, 19,838.78 and 8,408.61

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Solution

The fourth proportional to 14,378.11, 19,838.78 and 8,408.61 is: 11,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.11 : 19,838.78 = 8,408.61 : x
  2. Step 2: Convert to fraction form
    14,378.11/19,838.78 = 8,408.61/x
  3. Step 3: Cross multiply
    14,378.11x = 19,838.78 × 8,408.61
  4. Step 4: Simplify right side
    14,378.11x = 166,816,563.90
  5. Step 5: Solve for x
    x = 166,816,563.90/14,378.11
  6. Step 6: Final answer
    x = 11,602.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.