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Finding the Fourth Proportional to 20,812.32, 31,200.96 and 9,713.16

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Solution

The fourth proportional to 20,812.32, 31,200.96 and 9,713.16 is: 14,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.32 : 31,200.96 = 9,713.16 : x
  2. Step 2: Convert to fraction form
    20,812.32/31,200.96 = 9,713.16/x
  3. Step 3: Cross multiply
    20,812.32x = 31,200.96 × 9,713.16
  4. Step 4: Simplify right side
    20,812.32x = 303,059,916.63
  5. Step 5: Solve for x
    x = 303,059,916.63/20,812.32
  6. Step 6: Final answer
    x = 14,561.56

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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.