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Finding the Fourth Proportional to 21,197.44, 31,793.76 and 5,402.40

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Solution

The fourth proportional to 21,197.44, 31,793.76 and 5,402.40 is: 8,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.44 : 31,793.76 = 5,402.40 : x
  2. Step 2: Convert to fraction form
    21,197.44/31,793.76 = 5,402.40/x
  3. Step 3: Cross multiply
    21,197.44x = 31,793.76 × 5,402.40
  4. Step 4: Simplify right side
    21,197.44x = 171,762,609.02
  5. Step 5: Solve for x
    x = 171,762,609.02/21,197.44
  6. Step 6: Final answer
    x = 8,102.99

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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.