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Finding the Fourth Proportional to 14,308.20, 21,434.64 and 8,049.21

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Solution

The fourth proportional to 14,308.20, 21,434.64 and 8,049.21 is: 12,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.20 : 21,434.64 = 8,049.21 : x
  2. Step 2: Convert to fraction form
    14,308.20/21,434.64 = 8,049.21/x
  3. Step 3: Cross multiply
    14,308.20x = 21,434.64 × 8,049.21
  4. Step 4: Simplify right side
    14,308.20x = 172,531,918.63
  5. Step 5: Solve for x
    x = 172,531,918.63/14,308.20
  6. Step 6: Final answer
    x = 12,058.25

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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.