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Finding the Fourth Proportional to 19,892.64, 27,456 and 19,268.16

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Solution

The fourth proportional to 19,892.64, 27,456 and 19,268.16 is: 26,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.64 : 27,456 = 19,268.16 : x
  2. Step 2: Convert to fraction form
    19,892.64/27,456 = 19,268.16/x
  3. Step 3: Cross multiply
    19,892.64x = 27,456 × 19,268.16
  4. Step 4: Simplify right side
    19,892.64x = 529,026,600.96
  5. Step 5: Solve for x
    x = 529,026,600.96/19,892.64
  6. Step 6: Final answer
    x = 26,594.09

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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.