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Finding the Fourth Proportional to 30,374.46, 45,540.09 and 11,638.62

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Solution

The fourth proportional to 30,374.46, 45,540.09 and 11,638.62 is: 17,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.46 : 45,540.09 = 11,638.62 : x
  2. Step 2: Convert to fraction form
    30,374.46/45,540.09 = 11,638.62/x
  3. Step 3: Cross multiply
    30,374.46x = 45,540.09 × 11,638.62
  4. Step 4: Simplify right side
    30,374.46x = 530,023,802.28
  5. Step 5: Solve for x
    x = 530,023,802.28/30,374.46
  6. Step 6: Final answer
    x = 17,449.65

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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.