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Finding the Fourth Proportional to 16,817.76, 25,222.08 and 6,423.84

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Solution

The fourth proportional to 16,817.76, 25,222.08 and 6,423.84 is: 9,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.76 : 25,222.08 = 6,423.84 : x
  2. Step 2: Convert to fraction form
    16,817.76/25,222.08 = 6,423.84/x
  3. Step 3: Cross multiply
    16,817.76x = 25,222.08 × 6,423.84
  4. Step 4: Simplify right side
    16,817.76x = 162,022,606.39
  5. Step 5: Solve for x
    x = 162,022,606.39/16,817.76
  6. Step 6: Final answer
    x = 9,634.02

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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.