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Finding the Fourth Proportional to 27,778.60, 38,294.94 and 17,162.20

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Solution

The fourth proportional to 27,778.60, 38,294.94 and 17,162.20 is: 23,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.60 : 38,294.94 = 17,162.20 : x
  2. Step 2: Convert to fraction form
    27,778.60/38,294.94 = 17,162.20/x
  3. Step 3: Cross multiply
    27,778.60x = 38,294.94 × 17,162.20
  4. Step 4: Simplify right side
    27,778.60x = 657,225,419.27
  5. Step 5: Solve for x
    x = 657,225,419.27/27,778.60
  6. Step 6: Final answer
    x = 23,659.41

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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.