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Finding the Fourth Proportional to 16,377.50, 22,604.60 and 10,408

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Solution

The fourth proportional to 16,377.50, 22,604.60 and 10,408 is: 14,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.50 : 22,604.60 = 10,408 : x
  2. Step 2: Convert to fraction form
    16,377.50/22,604.60 = 10,408/x
  3. Step 3: Cross multiply
    16,377.50x = 22,604.60 × 10,408
  4. Step 4: Simplify right side
    16,377.50x = 235,268,676.80
  5. Step 5: Solve for x
    x = 235,268,676.80/16,377.50
  6. Step 6: Final answer
    x = 14,365.36

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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.