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Finding the Fourth Proportional to 20,047.98, 27,653.31 and 13,763.82

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Solution

The fourth proportional to 20,047.98, 27,653.31 and 13,763.82 is: 18,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.98 : 27,653.31 = 13,763.82 : x
  2. Step 2: Convert to fraction form
    20,047.98/27,653.31 = 13,763.82/x
  3. Step 3: Cross multiply
    20,047.98x = 27,653.31 × 13,763.82
  4. Step 4: Simplify right side
    20,047.98x = 380,615,181.24
  5. Step 5: Solve for x
    x = 380,615,181.24/20,047.98
  6. Step 6: Final answer
    x = 18,985.21

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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.