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Finding the Fourth Proportional to 21,397.44, 32,090.64 and 6,401.60

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Solution

The fourth proportional to 21,397.44, 32,090.64 and 6,401.60 is: 9,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.44 : 32,090.64 = 6,401.60 : x
  2. Step 2: Convert to fraction form
    21,397.44/32,090.64 = 6,401.60/x
  3. Step 3: Cross multiply
    21,397.44x = 32,090.64 × 6,401.60
  4. Step 4: Simplify right side
    21,397.44x = 205,431,441.02
  5. Step 5: Solve for x
    x = 205,431,441.02/21,397.44
  6. Step 6: Final answer
    x = 9,600.75

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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.