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Finding the Fourth Proportional to 14,571.96, 21,846.12 and 5,798.40

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Solution

The fourth proportional to 14,571.96, 21,846.12 and 5,798.40 is: 8,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.96 : 21,846.12 = 5,798.40 : x
  2. Step 2: Convert to fraction form
    14,571.96/21,846.12 = 5,798.40/x
  3. Step 3: Cross multiply
    14,571.96x = 21,846.12 × 5,798.40
  4. Step 4: Simplify right side
    14,571.96x = 126,672,542.21
  5. Step 5: Solve for x
    x = 126,672,542.21/14,571.96
  6. Step 6: Final answer
    x = 8,692.90

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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.