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Finding the Fourth Proportional to 19,107.20, 26,367.84 and 11,150

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Solution

The fourth proportional to 19,107.20, 26,367.84 and 11,150 is: 15,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107.20 : 26,367.84 = 11,150 : x
  2. Step 2: Convert to fraction form
    19,107.20/26,367.84 = 11,150/x
  3. Step 3: Cross multiply
    19,107.20x = 26,367.84 × 11,150
  4. Step 4: Simplify right side
    19,107.20x = 294,001,416
  5. Step 5: Solve for x
    x = 294,001,416/19,107.20
  6. Step 6: Final answer
    x = 15,386.94

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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.