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Finding the Fourth Proportional to 16,564.95, 24,847.40 and 6,704.30

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Solution

The fourth proportional to 16,564.95, 24,847.40 and 6,704.30 is: 10,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.95 : 24,847.40 = 6,704.30 : x
  2. Step 2: Convert to fraction form
    16,564.95/24,847.40 = 6,704.30/x
  3. Step 3: Cross multiply
    16,564.95x = 24,847.40 × 6,704.30
  4. Step 4: Simplify right side
    16,564.95x = 166,584,502.70
  5. Step 5: Solve for x
    x = 166,584,502.70/16,564.95
  6. Step 6: Final answer
    x = 10,056.44

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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.