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Finding the Fourth Proportional to 20,842.38, 28,762.49 and 11,410.94

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Solution

The fourth proportional to 20,842.38, 28,762.49 and 11,410.94 is: 15,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.38 : 28,762.49 = 11,410.94 : x
  2. Step 2: Convert to fraction form
    20,842.38/28,762.49 = 11,410.94/x
  3. Step 3: Cross multiply
    20,842.38x = 28,762.49 × 11,410.94
  4. Step 4: Simplify right side
    20,842.38x = 328,207,148.07
  5. Step 5: Solve for x
    x = 328,207,148.07/20,842.38
  6. Step 6: Final answer
    x = 15,747.11

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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.