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Finding the Fourth Proportional to 16,892, 25,214.31 and 14,896.93

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Solution

The fourth proportional to 16,892, 25,214.31 and 14,896.93 is: 22,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,892 : 25,214.31 = 14,896.93 : x
  2. Step 2: Convert to fraction form
    16,892/25,214.31 = 14,896.93/x
  3. Step 3: Cross multiply
    16,892x = 25,214.31 × 14,896.93
  4. Step 4: Simplify right side
    16,892x = 375,615,811.07
  5. Step 5: Solve for x
    x = 375,615,811.07/16,892
  6. Step 6: Final answer
    x = 22,236.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.