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Finding the Fourth Proportional to 10,692.60, 16,019.70 and 9,463.80

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Solution

The fourth proportional to 10,692.60, 16,019.70 and 9,463.80 is: 14,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.60 : 16,019.70 = 9,463.80 : x
  2. Step 2: Convert to fraction form
    10,692.60/16,019.70 = 9,463.80/x
  3. Step 3: Cross multiply
    10,692.60x = 16,019.70 × 9,463.80
  4. Step 4: Simplify right side
    10,692.60x = 151,607,236.86
  5. Step 5: Solve for x
    x = 151,607,236.86/10,692.60
  6. Step 6: Final answer
    x = 14,178.71

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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.