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Finding the Fourth Proportional to 20,185.17, 27,842.56 and 13,024.23

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Solution

The fourth proportional to 20,185.17, 27,842.56 and 13,024.23 is: 17,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.17 : 27,842.56 = 13,024.23 : x
  2. Step 2: Convert to fraction form
    20,185.17/27,842.56 = 13,024.23/x
  3. Step 3: Cross multiply
    20,185.17x = 27,842.56 × 13,024.23
  4. Step 4: Simplify right side
    20,185.17x = 362,627,905.23
  5. Step 5: Solve for x
    x = 362,627,905.23/20,185.17
  6. Step 6: Final answer
    x = 17,965.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.