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Finding the Fourth Proportional to 26,171, 39,203.04 and 21,774.32

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Solution

The fourth proportional to 26,171, 39,203.04 and 21,774.32 is: 32,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,171 : 39,203.04 = 21,774.32 : x
  2. Step 2: Convert to fraction form
    26,171/39,203.04 = 21,774.32/x
  3. Step 3: Cross multiply
    26,171x = 39,203.04 × 21,774.32
  4. Step 4: Simplify right side
    26,171x = 853,619,537.93
  5. Step 5: Solve for x
    x = 853,619,537.93/26,171
  6. Step 6: Final answer
    x = 32,617.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.