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Finding the Fourth Proportional to 30,381.38, 45,592.31 and 11,676.86

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Solution

The fourth proportional to 30,381.38, 45,592.31 and 11,676.86 is: 17,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.38 : 45,592.31 = 11,676.86 : x
  2. Step 2: Convert to fraction form
    30,381.38/45,592.31 = 11,676.86/x
  3. Step 3: Cross multiply
    30,381.38x = 45,592.31 × 11,676.86
  4. Step 4: Simplify right side
    30,381.38x = 532,374,822.18
  5. Step 5: Solve for x
    x = 532,374,822.18/30,381.38
  6. Step 6: Final answer
    x = 17,523.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.