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Finding the Fourth Proportional to 16,459.12, 24,696.78 and 7,692.76

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Solution

The fourth proportional to 16,459.12, 24,696.78 and 7,692.76 is: 11,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.12 : 24,696.78 = 7,692.76 : x
  2. Step 2: Convert to fraction form
    16,459.12/24,696.78 = 7,692.76/x
  3. Step 3: Cross multiply
    16,459.12x = 24,696.78 × 7,692.76
  4. Step 4: Simplify right side
    16,459.12x = 189,986,401.31
  5. Step 5: Solve for x
    x = 189,986,401.31/16,459.12
  6. Step 6: Final answer
    x = 11,542.93

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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.