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Finding the Fourth Proportional to 20,802.30, 31,203.45 and 10,412.70

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Solution

The fourth proportional to 20,802.30, 31,203.45 and 10,412.70 is: 15,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.30 : 31,203.45 = 10,412.70 : x
  2. Step 2: Convert to fraction form
    20,802.30/31,203.45 = 10,412.70/x
  3. Step 3: Cross multiply
    20,802.30x = 31,203.45 × 10,412.70
  4. Step 4: Simplify right side
    20,802.30x = 324,912,163.82
  5. Step 5: Solve for x
    x = 324,912,163.82/20,802.30
  6. Step 6: Final answer
    x = 15,619.05

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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.