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Finding the Fourth Proportional to 16,084.47, 24,129.90 and 6,223.84

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Solution

The fourth proportional to 16,084.47, 24,129.90 and 6,223.84 is: 9,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.47 : 24,129.90 = 6,223.84 : x
  2. Step 2: Convert to fraction form
    16,084.47/24,129.90 = 6,223.84/x
  3. Step 3: Cross multiply
    16,084.47x = 24,129.90 × 6,223.84
  4. Step 4: Simplify right side
    16,084.47x = 150,180,576.49
  5. Step 5: Solve for x
    x = 150,180,576.49/16,084.47
  6. Step 6: Final answer
    x = 9,336.99

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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.