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Finding the Fourth Proportional to 12,036.96, 16,610.76 and 6,731.82

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Solution

The fourth proportional to 12,036.96, 16,610.76 and 6,731.82 is: 9,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.96 : 16,610.76 = 6,731.82 : x
  2. Step 2: Convert to fraction form
    12,036.96/16,610.76 = 6,731.82/x
  3. Step 3: Cross multiply
    12,036.96x = 16,610.76 × 6,731.82
  4. Step 4: Simplify right side
    12,036.96x = 111,820,646.38
  5. Step 5: Solve for x
    x = 111,820,646.38/12,036.96
  6. Step 6: Final answer
    x = 9,289.77

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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.