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Finding the Fourth Proportional to 12,677.44, 17,493.24 and 7,011.76

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Solution

The fourth proportional to 12,677.44, 17,493.24 and 7,011.76 is: 9,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.44 : 17,493.24 = 7,011.76 : x
  2. Step 2: Convert to fraction form
    12,677.44/17,493.24 = 7,011.76/x
  3. Step 3: Cross multiply
    12,677.44x = 17,493.24 × 7,011.76
  4. Step 4: Simplify right side
    12,677.44x = 122,658,400.50
  5. Step 5: Solve for x
    x = 122,658,400.50/12,677.44
  6. Step 6: Final answer
    x = 9,675.33

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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.