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Finding the Fourth Proportional to 12,677.90, 17,495.96 and 7,374.42

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Solution

The fourth proportional to 12,677.90, 17,495.96 and 7,374.42 is: 10,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.90 : 17,495.96 = 7,374.42 : x
  2. Step 2: Convert to fraction form
    12,677.90/17,495.96 = 7,374.42/x
  3. Step 3: Cross multiply
    12,677.90x = 17,495.96 × 7,374.42
  4. Step 4: Simplify right side
    12,677.90x = 129,022,520.47
  5. Step 5: Solve for x
    x = 129,022,520.47/12,677.90
  6. Step 6: Final answer
    x = 10,176.97

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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.