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Finding the Fourth Proportional to 21,812.40, 32,720.76 and 7,958.16

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Solution

The fourth proportional to 21,812.40, 32,720.76 and 7,958.16 is: 11,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.40 : 32,720.76 = 7,958.16 : x
  2. Step 2: Convert to fraction form
    21,812.40/32,720.76 = 7,958.16/x
  3. Step 3: Cross multiply
    21,812.40x = 32,720.76 × 7,958.16
  4. Step 4: Simplify right side
    21,812.40x = 260,397,043.40
  5. Step 5: Solve for x
    x = 260,397,043.40/21,812.40
  6. Step 6: Final answer
    x = 11,938.03

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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.