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Finding the Fourth Proportional to 20,114.69, 27,659.84 and 17,457.48

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Solution

The fourth proportional to 20,114.69, 27,659.84 and 17,457.48 is: 24,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.69 : 27,659.84 = 17,457.48 : x
  2. Step 2: Convert to fraction form
    20,114.69/27,659.84 = 17,457.48/x
  3. Step 3: Cross multiply
    20,114.69x = 27,659.84 × 17,457.48
  4. Step 4: Simplify right side
    20,114.69x = 482,871,016.32
  5. Step 5: Solve for x
    x = 482,871,016.32/20,114.69
  6. Step 6: Final answer
    x = 24,005.90

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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.