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Finding the Fourth Proportional to 21,841.38, 30,141.32 and 12,410.01

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Solution

The fourth proportional to 21,841.38, 30,141.32 and 12,410.01 is: 17,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.38 : 30,141.32 = 12,410.01 : x
  2. Step 2: Convert to fraction form
    21,841.38/30,141.32 = 12,410.01/x
  3. Step 3: Cross multiply
    21,841.38x = 30,141.32 × 12,410.01
  4. Step 4: Simplify right side
    21,841.38x = 374,054,020.56
  5. Step 5: Solve for x
    x = 374,054,020.56/21,841.38
  6. Step 6: Final answer
    x = 17,125.93

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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.