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Finding the Fourth Proportional to 12,000.96, 16,561.38 and 6,696

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Solution

The fourth proportional to 12,000.96, 16,561.38 and 6,696 is: 9,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.96 : 16,561.38 = 6,696 : x
  2. Step 2: Convert to fraction form
    12,000.96/16,561.38 = 6,696/x
  3. Step 3: Cross multiply
    12,000.96x = 16,561.38 × 6,696
  4. Step 4: Simplify right side
    12,000.96x = 110,895,000.48
  5. Step 5: Solve for x
    x = 110,895,000.48/12,000.96
  6. Step 6: Final answer
    x = 9,240.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.