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Finding the Fourth Proportional to 17,889.80, 24,682.93 and 11,182.25

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Solution

The fourth proportional to 17,889.80, 24,682.93 and 11,182.25 is: 15,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889.80 : 24,682.93 = 11,182.25 : x
  2. Step 2: Convert to fraction form
    17,889.80/24,682.93 = 11,182.25/x
  3. Step 3: Cross multiply
    17,889.80x = 24,682.93 × 11,182.25
  4. Step 4: Simplify right side
    17,889.80x = 276,010,727.74
  5. Step 5: Solve for x
    x = 276,010,727.74/17,889.80
  6. Step 6: Final answer
    x = 15,428.39

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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.