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Finding the Fourth Proportional to 14,167.18, 19,548.52 and 8,197.68

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Solution

The fourth proportional to 14,167.18, 19,548.52 and 8,197.68 is: 11,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167.18 : 19,548.52 = 8,197.68 : x
  2. Step 2: Convert to fraction form
    14,167.18/19,548.52 = 8,197.68/x
  3. Step 3: Cross multiply
    14,167.18x = 19,548.52 × 8,197.68
  4. Step 4: Simplify right side
    14,167.18x = 160,252,511.43
  5. Step 5: Solve for x
    x = 160,252,511.43/14,167.18
  6. Step 6: Final answer
    x = 11,311.53

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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.