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Finding the Fourth Proportional to 20,419.39, 30,615.77 and 8,580.74

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Solution

The fourth proportional to 20,419.39, 30,615.77 and 8,580.74 is: 12,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.39 : 30,615.77 = 8,580.74 : x
  2. Step 2: Convert to fraction form
    20,419.39/30,615.77 = 8,580.74/x
  3. Step 3: Cross multiply
    20,419.39x = 30,615.77 × 8,580.74
  4. Step 4: Simplify right side
    20,419.39x = 262,705,830.64
  5. Step 5: Solve for x
    x = 262,705,830.64/20,419.39
  6. Step 6: Final answer
    x = 12,865.51

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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.