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Finding the Fourth Proportional to 14,458.68, 19,953.28 and 8,171.20

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Solution

The fourth proportional to 14,458.68, 19,953.28 and 8,171.20 is: 11,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.68 : 19,953.28 = 8,171.20 : x
  2. Step 2: Convert to fraction form
    14,458.68/19,953.28 = 8,171.20/x
  3. Step 3: Cross multiply
    14,458.68x = 19,953.28 × 8,171.20
  4. Step 4: Simplify right side
    14,458.68x = 163,042,241.54
  5. Step 5: Solve for x
    x = 163,042,241.54/14,458.68
  6. Step 6: Final answer
    x = 11,276.43

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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.