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Finding the Fourth Proportional to 12,677.57, 17,495.09 and 7,012.23

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Solution

The fourth proportional to 12,677.57, 17,495.09 and 7,012.23 is: 9,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.57 : 17,495.09 = 7,012.23 : x
  2. Step 2: Convert to fraction form
    12,677.57/17,495.09 = 7,012.23/x
  3. Step 3: Cross multiply
    12,677.57x = 17,495.09 × 7,012.23
  4. Step 4: Simplify right side
    12,677.57x = 122,679,594.95
  5. Step 5: Solve for x
    x = 122,679,594.95/12,677.57
  6. Step 6: Final answer
    x = 9,676.90

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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.