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Finding the Fourth Proportional to 14,431.40, 19,915.22 and 8,057.61

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Solution

The fourth proportional to 14,431.40, 19,915.22 and 8,057.61 is: 11,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.40 : 19,915.22 = 8,057.61 : x
  2. Step 2: Convert to fraction form
    14,431.40/19,915.22 = 8,057.61/x
  3. Step 3: Cross multiply
    14,431.40x = 19,915.22 × 8,057.61
  4. Step 4: Simplify right side
    14,431.40x = 160,469,075.82
  5. Step 5: Solve for x
    x = 160,469,075.82/14,431.40
  6. Step 6: Final answer
    x = 11,119.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.