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Finding the Fourth Proportional to 19,921.14, 27,465.48 and 16,322.72

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Solution

The fourth proportional to 19,921.14, 27,465.48 and 16,322.72 is: 22,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.14 : 27,465.48 = 16,322.72 : x
  2. Step 2: Convert to fraction form
    19,921.14/27,465.48 = 16,322.72/x
  3. Step 3: Cross multiply
    19,921.14x = 27,465.48 × 16,322.72
  4. Step 4: Simplify right side
    19,921.14x = 448,311,202.38
  5. Step 5: Solve for x
    x = 448,311,202.38/19,921.14
  6. Step 6: Final answer
    x = 22,504.29

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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.