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Finding the Fourth Proportional to 13,770.32, 20,650.01 and 5,000.45

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Solution

The fourth proportional to 13,770.32, 20,650.01 and 5,000.45 is: 7,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.32 : 20,650.01 = 5,000.45 : x
  2. Step 2: Convert to fraction form
    13,770.32/20,650.01 = 5,000.45/x
  3. Step 3: Cross multiply
    13,770.32x = 20,650.01 × 5,000.45
  4. Step 4: Simplify right side
    13,770.32x = 103,259,214.25
  5. Step 5: Solve for x
    x = 103,259,214.25/13,770.32
  6. Step 6: Final answer
    x = 7,498.68

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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.