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Finding the Fourth Proportional to 13,511.58, 20,244.12 and 12,142

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Solution

The fourth proportional to 13,511.58, 20,244.12 and 12,142 is: 18,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.58 : 20,244.12 = 12,142 : x
  2. Step 2: Convert to fraction form
    13,511.58/20,244.12 = 12,142/x
  3. Step 3: Cross multiply
    13,511.58x = 20,244.12 × 12,142
  4. Step 4: Simplify right side
    13,511.58x = 245,804,105.04
  5. Step 5: Solve for x
    x = 245,804,105.04/13,511.58
  6. Step 6: Final answer
    x = 18,192.11

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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.