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Finding the Fourth Proportional to 19,244, 28,782.61 and 11,327.65

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Solution

The fourth proportional to 19,244, 28,782.61 and 11,327.65 is: 16,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,244 : 28,782.61 = 11,327.65 : x
  2. Step 2: Convert to fraction form
    19,244/28,782.61 = 11,327.65/x
  3. Step 3: Cross multiply
    19,244x = 28,782.61 × 11,327.65
  4. Step 4: Simplify right side
    19,244x = 326,039,332.17
  5. Step 5: Solve for x
    x = 326,039,332.17/19,244
  6. Step 6: Final answer
    x = 16,942.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.