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Finding the Fourth Proportional to 34,214.33, 51,327 and 14,493.06

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Solution

The fourth proportional to 34,214.33, 51,327 and 14,493.06 is: 21,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,214.33 : 51,327 = 14,493.06 : x
  2. Step 2: Convert to fraction form
    34,214.33/51,327 = 14,493.06/x
  3. Step 3: Cross multiply
    34,214.33x = 51,327 × 14,493.06
  4. Step 4: Simplify right side
    34,214.33x = 743,885,290.62
  5. Step 5: Solve for x
    x = 743,885,290.62/34,214.33
  6. Step 6: Final answer
    x = 21,741.92

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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.