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Finding the Fourth Proportional to 20,480.16, 30,720.22 and 6,441.42

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Solution

The fourth proportional to 20,480.16, 30,720.22 and 6,441.42 is: 9,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.16 : 30,720.22 = 6,441.42 : x
  2. Step 2: Convert to fraction form
    20,480.16/30,720.22 = 6,441.42/x
  3. Step 3: Cross multiply
    20,480.16x = 30,720.22 × 6,441.42
  4. Step 4: Simplify right side
    20,480.16x = 197,881,938.61
  5. Step 5: Solve for x
    x = 197,881,938.61/20,480.16
  6. Step 6: Final answer
    x = 9,662.13

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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.