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Finding the Fourth Proportional to 14,140.12, 19,508.84 and 8,171

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Solution

The fourth proportional to 14,140.12, 19,508.84 and 8,171 is: 11,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.12 : 19,508.84 = 8,171 : x
  2. Step 2: Convert to fraction form
    14,140.12/19,508.84 = 8,171/x
  3. Step 3: Cross multiply
    14,140.12x = 19,508.84 × 8,171
  4. Step 4: Simplify right side
    14,140.12x = 159,406,731.64
  5. Step 5: Solve for x
    x = 159,406,731.64/14,140.12
  6. Step 6: Final answer
    x = 11,273.36

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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.