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Finding the Fourth Proportional to 36,009.86, 54,023.50 and 13,520.74

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Solution

The fourth proportional to 36,009.86, 54,023.50 and 13,520.74 is: 20,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009.86 : 54,023.50 = 13,520.74 : x
  2. Step 2: Convert to fraction form
    36,009.86/54,023.50 = 13,520.74/x
  3. Step 3: Cross multiply
    36,009.86x = 54,023.50 × 13,520.74
  4. Step 4: Simplify right side
    36,009.86x = 730,437,697.39
  5. Step 5: Solve for x
    x = 730,437,697.39/36,009.86
  6. Step 6: Final answer
    x = 20,284.38

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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.