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Finding the Fourth Proportional to 19,601.28, 29,406.24 and 8,509.68

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Solution

The fourth proportional to 19,601.28, 29,406.24 and 8,509.68 is: 12,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,601.28 : 29,406.24 = 8,509.68 : x
  2. Step 2: Convert to fraction form
    19,601.28/29,406.24 = 8,509.68/x
  3. Step 3: Cross multiply
    19,601.28x = 29,406.24 × 8,509.68
  4. Step 4: Simplify right side
    19,601.28x = 250,237,692.40
  5. Step 5: Solve for x
    x = 250,237,692.40/19,601.28
  6. Step 6: Final answer
    x = 12,766.40

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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.