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Finding the Fourth Proportional to 16,381.98, 24,568.65 and 4,692.42

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Solution

The fourth proportional to 16,381.98, 24,568.65 and 4,692.42 is: 7,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.98 : 24,568.65 = 4,692.42 : x
  2. Step 2: Convert to fraction form
    16,381.98/24,568.65 = 4,692.42/x
  3. Step 3: Cross multiply
    16,381.98x = 24,568.65 × 4,692.42
  4. Step 4: Simplify right side
    16,381.98x = 115,286,424.63
  5. Step 5: Solve for x
    x = 115,286,424.63/16,381.98
  6. Step 6: Final answer
    x = 7,037.39

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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.