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Finding the Fourth Proportional to 14,543.49, 20,070.51 and 8,171.21

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Solution

The fourth proportional to 14,543.49, 20,070.51 and 8,171.21 is: 11,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.49 : 20,070.51 = 8,171.21 : x
  2. Step 2: Convert to fraction form
    14,543.49/20,070.51 = 8,171.21/x
  3. Step 3: Cross multiply
    14,543.49x = 20,070.51 × 8,171.21
  4. Step 4: Simplify right side
    14,543.49x = 164,000,251.66
  5. Step 5: Solve for x
    x = 164,000,251.66/14,543.49
  6. Step 6: Final answer
    x = 11,276.54

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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.