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Finding the Fourth Proportional to 15,917.36, 21,892.92 and 12,766.64

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Solution

The fourth proportional to 15,917.36, 21,892.92 and 12,766.64 is: 17,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.36 : 21,892.92 = 12,766.64 : x
  2. Step 2: Convert to fraction form
    15,917.36/21,892.92 = 12,766.64/x
  3. Step 3: Cross multiply
    15,917.36x = 21,892.92 × 12,766.64
  4. Step 4: Simplify right side
    15,917.36x = 279,499,028.19
  5. Step 5: Solve for x
    x = 279,499,028.19/15,917.36
  6. Step 6: Final answer
    x = 17,559.38

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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.