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Finding the Fourth Proportional to 16,499.34, 22,767.66 and 9,692.64

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Solution

The fourth proportional to 16,499.34, 22,767.66 and 9,692.64 is: 13,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.34 : 22,767.66 = 9,692.64 : x
  2. Step 2: Convert to fraction form
    16,499.34/22,767.66 = 9,692.64/x
  3. Step 3: Cross multiply
    16,499.34x = 22,767.66 × 9,692.64
  4. Step 4: Simplify right side
    16,499.34x = 220,678,732.02
  5. Step 5: Solve for x
    x = 220,678,732.02/16,499.34
  6. Step 6: Final answer
    x = 13,375.00

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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.