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Finding the Fourth Proportional to 21,841.83, 30,141.72 and 12,410.39

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Solution

The fourth proportional to 21,841.83, 30,141.72 and 12,410.39 is: 17,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.83 : 30,141.72 = 12,410.39 : x
  2. Step 2: Convert to fraction form
    21,841.83/30,141.72 = 12,410.39/x
  3. Step 3: Cross multiply
    21,841.83x = 30,141.72 × 12,410.39
  4. Step 4: Simplify right side
    21,841.83x = 374,070,349.76
  5. Step 5: Solve for x
    x = 374,070,349.76/21,841.83
  6. Step 6: Final answer
    x = 17,126.33

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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.