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Finding the Fourth Proportional to 20,313.87, 30,475.65 and 10,293.63

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Solution

The fourth proportional to 20,313.87, 30,475.65 and 10,293.63 is: 15,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.87 : 30,475.65 = 10,293.63 : x
  2. Step 2: Convert to fraction form
    20,313.87/30,475.65 = 10,293.63/x
  3. Step 3: Cross multiply
    20,313.87x = 30,475.65 × 10,293.63
  4. Step 4: Simplify right side
    20,313.87x = 313,705,065.11
  5. Step 5: Solve for x
    x = 313,705,065.11/20,313.87
  6. Step 6: Final answer
    x = 15,442.90

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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.