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Finding the Fourth Proportional to 20,802.56, 31,203.72 and 10,414.16

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Solution

The fourth proportional to 20,802.56, 31,203.72 and 10,414.16 is: 15,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.56 : 31,203.72 = 10,414.16 : x
  2. Step 2: Convert to fraction form
    20,802.56/31,203.72 = 10,414.16/x
  3. Step 3: Cross multiply
    20,802.56x = 31,203.72 × 10,414.16
  4. Step 4: Simplify right side
    20,802.56x = 324,960,532.68
  5. Step 5: Solve for x
    x = 324,960,532.68/20,802.56
  6. Step 6: Final answer
    x = 15,621.18

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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.