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Finding the Fourth Proportional to 16,406.56, 24,615.24 and 6,540.40

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Solution

The fourth proportional to 16,406.56, 24,615.24 and 6,540.40 is: 9,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.56 : 24,615.24 = 6,540.40 : x
  2. Step 2: Convert to fraction form
    16,406.56/24,615.24 = 6,540.40/x
  3. Step 3: Cross multiply
    16,406.56x = 24,615.24 × 6,540.40
  4. Step 4: Simplify right side
    16,406.56x = 160,993,515.70
  5. Step 5: Solve for x
    x = 160,993,515.70/16,406.56
  6. Step 6: Final answer
    x = 9,812.75

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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.