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Finding the Fourth Proportional to 20,242.82, 30,363.03 and 7,762.34

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Solution

The fourth proportional to 20,242.82, 30,363.03 and 7,762.34 is: 11,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.82 : 30,363.03 = 7,762.34 : x
  2. Step 2: Convert to fraction form
    20,242.82/30,363.03 = 7,762.34/x
  3. Step 3: Cross multiply
    20,242.82x = 30,363.03 × 7,762.34
  4. Step 4: Simplify right side
    20,242.82x = 235,688,010.48
  5. Step 5: Solve for x
    x = 235,688,010.48/20,242.82
  6. Step 6: Final answer
    x = 11,643.05

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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.