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Finding the Fourth Proportional to 13,511.80, 18,641.91 and 8,478.06

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Solution

The fourth proportional to 13,511.80, 18,641.91 and 8,478.06 is: 11,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.80 : 18,641.91 = 8,478.06 : x
  2. Step 2: Convert to fraction form
    13,511.80/18,641.91 = 8,478.06/x
  3. Step 3: Cross multiply
    13,511.80x = 18,641.91 × 8,478.06
  4. Step 4: Simplify right side
    13,511.80x = 158,047,231.49
  5. Step 5: Solve for x
    x = 158,047,231.49/13,511.80
  6. Step 6: Final answer
    x = 11,696.98

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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.