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Finding the Fourth Proportional to 20,365.86, 30,493.35 and 15,420.54

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Solution

The fourth proportional to 20,365.86, 30,493.35 and 15,420.54 is: 23,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,365.86 : 30,493.35 = 15,420.54 : x
  2. Step 2: Convert to fraction form
    20,365.86/30,493.35 = 15,420.54/x
  3. Step 3: Cross multiply
    20,365.86x = 30,493.35 × 15,420.54
  4. Step 4: Simplify right side
    20,365.86x = 470,223,923.41
  5. Step 5: Solve for x
    x = 470,223,923.41/20,365.86
  6. Step 6: Final answer
    x = 23,088.83

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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.