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Finding the Fourth Proportional to 20,842.39, 28,762.32 and 11,282.23

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Solution

The fourth proportional to 20,842.39, 28,762.32 and 11,282.23 is: 15,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.39 : 28,762.32 = 11,282.23 : x
  2. Step 2: Convert to fraction form
    20,842.39/28,762.32 = 11,282.23/x
  3. Step 3: Cross multiply
    20,842.39x = 28,762.32 × 11,282.23
  4. Step 4: Simplify right side
    20,842.39x = 324,503,109.57
  5. Step 5: Solve for x
    x = 324,503,109.57/20,842.39
  6. Step 6: Final answer
    x = 15,569.38

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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.