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Finding the Fourth Proportional to 19,900.38, 27,445.32 and 15,424.32

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Solution

The fourth proportional to 19,900.38, 27,445.32 and 15,424.32 is: 21,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.38 : 27,445.32 = 15,424.32 : x
  2. Step 2: Convert to fraction form
    19,900.38/27,445.32 = 15,424.32/x
  3. Step 3: Cross multiply
    19,900.38x = 27,445.32 × 15,424.32
  4. Step 4: Simplify right side
    19,900.38x = 423,325,398.18
  5. Step 5: Solve for x
    x = 423,325,398.18/19,900.38
  6. Step 6: Final answer
    x = 21,272.23

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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.