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Finding the Fourth Proportional to 20,048.48, 27,654 and 13,764.32

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Solution

The fourth proportional to 20,048.48, 27,654 and 13,764.32 is: 18,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.48 : 27,654 = 13,764.32 : x
  2. Step 2: Convert to fraction form
    20,048.48/27,654 = 13,764.32/x
  3. Step 3: Cross multiply
    20,048.48x = 27,654 × 13,764.32
  4. Step 4: Simplify right side
    20,048.48x = 380,638,505.28
  5. Step 5: Solve for x
    x = 380,638,505.28/20,048.48
  6. Step 6: Final answer
    x = 18,985.90

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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.