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Finding the Fourth Proportional to 21,690.60, 32,519.70 and 9,200.40

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Solution

The fourth proportional to 21,690.60, 32,519.70 and 9,200.40 is: 13,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.60 : 32,519.70 = 9,200.40 : x
  2. Step 2: Convert to fraction form
    21,690.60/32,519.70 = 9,200.40/x
  3. Step 3: Cross multiply
    21,690.60x = 32,519.70 × 9,200.40
  4. Step 4: Simplify right side
    21,690.60x = 299,194,247.88
  5. Step 5: Solve for x
    x = 299,194,247.88/21,690.60
  6. Step 6: Final answer
    x = 13,793.73

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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.