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Finding the Fourth Proportional to 27,645.92, 41,464.79 and 13,602.18

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Solution

The fourth proportional to 27,645.92, 41,464.79 and 13,602.18 is: 20,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.92 : 41,464.79 = 13,602.18 : x
  2. Step 2: Convert to fraction form
    27,645.92/41,464.79 = 13,602.18/x
  3. Step 3: Cross multiply
    27,645.92x = 41,464.79 × 13,602.18
  4. Step 4: Simplify right side
    27,645.92x = 564,011,537.24
  5. Step 5: Solve for x
    x = 564,011,537.24/27,645.92
  6. Step 6: Final answer
    x = 20,401.26

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