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Finding the Fourth Proportional to 12,289.69, 16,961.21 and 6,985.30

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Solution

The fourth proportional to 12,289.69, 16,961.21 and 6,985.30 is: 9,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.69 : 16,961.21 = 6,985.30 : x
  2. Step 2: Convert to fraction form
    12,289.69/16,961.21 = 6,985.30/x
  3. Step 3: Cross multiply
    12,289.69x = 16,961.21 × 6,985.30
  4. Step 4: Simplify right side
    12,289.69x = 118,479,120.88
  5. Step 5: Solve for x
    x = 118,479,120.88/12,289.69
  6. Step 6: Final answer
    x = 9,640.53

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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.