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Finding the Fourth Proportional to 12,096.99, 16,693.65 and 6,719.31

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Solution

The fourth proportional to 12,096.99, 16,693.65 and 6,719.31 is: 9,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.99 : 16,693.65 = 6,719.31 : x
  2. Step 2: Convert to fraction form
    12,096.99/16,693.65 = 6,719.31/x
  3. Step 3: Cross multiply
    12,096.99x = 16,693.65 × 6,719.31
  4. Step 4: Simplify right side
    12,096.99x = 112,169,809.38
  5. Step 5: Solve for x
    x = 112,169,809.38/12,096.99
  6. Step 6: Final answer
    x = 9,272.54

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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.