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Finding the Fourth Proportional to 16,426.40, 24,643.20 and 6,563.20

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Solution

The fourth proportional to 16,426.40, 24,643.20 and 6,563.20 is: 9,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.40 : 24,643.20 = 6,563.20 : x
  2. Step 2: Convert to fraction form
    16,426.40/24,643.20 = 6,563.20/x
  3. Step 3: Cross multiply
    16,426.40x = 24,643.20 × 6,563.20
  4. Step 4: Simplify right side
    16,426.40x = 161,738,250.24
  5. Step 5: Solve for x
    x = 161,738,250.24/16,426.40
  6. Step 6: Final answer
    x = 9,846.24

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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.