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Finding the Fourth Proportional to 14,428.56, 19,911.24 and 8,140.80

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Solution

The fourth proportional to 14,428.56, 19,911.24 and 8,140.80 is: 11,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.56 : 19,911.24 = 8,140.80 : x
  2. Step 2: Convert to fraction form
    14,428.56/19,911.24 = 8,140.80/x
  3. Step 3: Cross multiply
    14,428.56x = 19,911.24 × 8,140.80
  4. Step 4: Simplify right side
    14,428.56x = 162,093,422.59
  5. Step 5: Solve for x
    x = 162,093,422.59/14,428.56
  6. Step 6: Final answer
    x = 11,234.21

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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.