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Finding the Fourth Proportional to 14,177.84, 21,245.21 and 6,772.10

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Solution

The fourth proportional to 14,177.84, 21,245.21 and 6,772.10 is: 10,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.84 : 21,245.21 = 6,772.10 : x
  2. Step 2: Convert to fraction form
    14,177.84/21,245.21 = 6,772.10/x
  3. Step 3: Cross multiply
    14,177.84x = 21,245.21 × 6,772.10
  4. Step 4: Simplify right side
    14,177.84x = 143,874,652.78
  5. Step 5: Solve for x
    x = 143,874,652.78/14,177.84
  6. Step 6: Final answer
    x = 10,147.85

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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.