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Finding the Fourth Proportional to 13,466.58, 20,196.12 and 8,053.43

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Solution

The fourth proportional to 13,466.58, 20,196.12 and 8,053.43 is: 12,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.58 : 20,196.12 = 8,053.43 : x
  2. Step 2: Convert to fraction form
    13,466.58/20,196.12 = 8,053.43/x
  3. Step 3: Cross multiply
    13,466.58x = 20,196.12 × 8,053.43
  4. Step 4: Simplify right side
    13,466.58x = 162,647,937.71
  5. Step 5: Solve for x
    x = 162,647,937.71/13,466.58
  6. Step 6: Final answer
    x = 12,077.89

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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.