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Finding the Fourth Proportional to 20,673.54, 31,003.02 and 9,578.16

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Solution

The fourth proportional to 20,673.54, 31,003.02 and 9,578.16 is: 14,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.54 : 31,003.02 = 9,578.16 : x
  2. Step 2: Convert to fraction form
    20,673.54/31,003.02 = 9,578.16/x
  3. Step 3: Cross multiply
    20,673.54x = 31,003.02 × 9,578.16
  4. Step 4: Simplify right side
    20,673.54x = 296,951,886.04
  5. Step 5: Solve for x
    x = 296,951,886.04/20,673.54
  6. Step 6: Final answer
    x = 14,363.86

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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.