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Finding the Fourth Proportional to 20,518.60, 30,770.70 and 9,430.60

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Solution

The fourth proportional to 20,518.60, 30,770.70 and 9,430.60 is: 14,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.60 : 30,770.70 = 9,430.60 : x
  2. Step 2: Convert to fraction form
    20,518.60/30,770.70 = 9,430.60/x
  3. Step 3: Cross multiply
    20,518.60x = 30,770.70 × 9,430.60
  4. Step 4: Simplify right side
    20,518.60x = 290,186,163.42
  5. Step 5: Solve for x
    x = 290,186,163.42/20,518.60
  6. Step 6: Final answer
    x = 14,142.59

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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.