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Finding the Fourth Proportional to 20,665.89, 30,780.09 and 20,565.18

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Solution

The fourth proportional to 20,665.89, 30,780.09 and 20,565.18 is: 30,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.89 : 30,780.09 = 20,565.18 : x
  2. Step 2: Convert to fraction form
    20,665.89/30,780.09 = 20,565.18/x
  3. Step 3: Cross multiply
    20,665.89x = 30,780.09 × 20,565.18
  4. Step 4: Simplify right side
    20,665.89x = 632,998,091.27
  5. Step 5: Solve for x
    x = 632,998,091.27/20,665.89
  6. Step 6: Final answer
    x = 30,630.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.