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Finding the Fourth Proportional to 30,638.66, 42,278.05 and 17,211.39

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Solution

The fourth proportional to 30,638.66, 42,278.05 and 17,211.39 is: 23,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.66 : 42,278.05 = 17,211.39 : x
  2. Step 2: Convert to fraction form
    30,638.66/42,278.05 = 17,211.39/x
  3. Step 3: Cross multiply
    30,638.66x = 42,278.05 × 17,211.39
  4. Step 4: Simplify right side
    30,638.66x = 727,663,869.96
  5. Step 5: Solve for x
    x = 727,663,869.96/30,638.66
  6. Step 6: Final answer
    x = 23,749.86

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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.