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Finding the Fourth Proportional to 13,966.56, 19,276.56 and 8,299.44

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Solution

The fourth proportional to 13,966.56, 19,276.56 and 8,299.44 is: 11,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.56 : 19,276.56 = 8,299.44 : x
  2. Step 2: Convert to fraction form
    13,966.56/19,276.56 = 8,299.44/x
  3. Step 3: Cross multiply
    13,966.56x = 19,276.56 × 8,299.44
  4. Step 4: Simplify right side
    13,966.56x = 159,984,653.13
  5. Step 5: Solve for x
    x = 159,984,653.13/13,966.56
  6. Step 6: Final answer
    x = 11,454.84

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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.