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Finding the Fourth Proportional to 11,639.56, 17,456.08 and 8,342.88

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Solution

The fourth proportional to 11,639.56, 17,456.08 and 8,342.88 is: 12,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.56 : 17,456.08 = 8,342.88 : x
  2. Step 2: Convert to fraction form
    11,639.56/17,456.08 = 8,342.88/x
  3. Step 3: Cross multiply
    11,639.56x = 17,456.08 × 8,342.88
  4. Step 4: Simplify right side
    11,639.56x = 145,633,980.71
  5. Step 5: Solve for x
    x = 145,633,980.71/11,639.56
  6. Step 6: Final answer
    x = 12,511.98

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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.