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Finding the Fourth Proportional to 27,599.36, 38,095.80 and 16,268.24

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Solution

The fourth proportional to 27,599.36, 38,095.80 and 16,268.24 is: 22,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599.36 : 38,095.80 = 16,268.24 : x
  2. Step 2: Convert to fraction form
    27,599.36/38,095.80 = 16,268.24/x
  3. Step 3: Cross multiply
    27,599.36x = 38,095.80 × 16,268.24
  4. Step 4: Simplify right side
    27,599.36x = 619,751,617.39
  5. Step 5: Solve for x
    x = 619,751,617.39/27,599.36
  6. Step 6: Final answer
    x = 22,455.29

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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.