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Finding the Fourth Proportional to 30,204.96, 41,685.48 and 17,633.76

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Solution

The fourth proportional to 30,204.96, 41,685.48 and 17,633.76 is: 24,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.96 : 41,685.48 = 17,633.76 : x
  2. Step 2: Convert to fraction form
    30,204.96/41,685.48 = 17,633.76/x
  3. Step 3: Cross multiply
    30,204.96x = 41,685.48 × 17,633.76
  4. Step 4: Simplify right side
    30,204.96x = 735,071,749.80
  5. Step 5: Solve for x
    x = 735,071,749.80/30,204.96
  6. Step 6: Final answer
    x = 24,336.13

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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.