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Finding the Fourth Proportional to 14,378.34, 19,836.72 and 8,408.10

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Solution

The fourth proportional to 14,378.34, 19,836.72 and 8,408.10 is: 11,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.34 : 19,836.72 = 8,408.10 : x
  2. Step 2: Convert to fraction form
    14,378.34/19,836.72 = 8,408.10/x
  3. Step 3: Cross multiply
    14,378.34x = 19,836.72 × 8,408.10
  4. Step 4: Simplify right side
    14,378.34x = 166,789,125.43
  5. Step 5: Solve for x
    x = 166,789,125.43/14,378.34
  6. Step 6: Final answer
    x = 11,600.03

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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.