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Finding the Fourth Proportional to 20,812.34, 31,214.16 and 9,724.25

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Solution

The fourth proportional to 20,812.34, 31,214.16 and 9,724.25 is: 14,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.34 : 31,214.16 = 9,724.25 : x
  2. Step 2: Convert to fraction form
    20,812.34/31,214.16 = 9,724.25/x
  3. Step 3: Cross multiply
    20,812.34x = 31,214.16 × 9,724.25
  4. Step 4: Simplify right side
    20,812.34x = 303,534,373.42
  5. Step 5: Solve for x
    x = 303,534,373.42/20,812.34
  6. Step 6: Final answer
    x = 14,584.34

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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.