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Finding the Fourth Proportional to 20,841.84, 28,762.43 and 11,410.38

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Solution

The fourth proportional to 20,841.84, 28,762.43 and 11,410.38 is: 15,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.84 : 28,762.43 = 11,410.38 : x
  2. Step 2: Convert to fraction form
    20,841.84/28,762.43 = 11,410.38/x
  3. Step 3: Cross multiply
    20,841.84x = 28,762.43 × 11,410.38
  4. Step 4: Simplify right side
    20,841.84x = 328,190,198.97
  5. Step 5: Solve for x
    x = 328,190,198.97/20,841.84
  6. Step 6: Final answer
    x = 15,746.70

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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.