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Finding the Fourth Proportional to 20,352.68, 30,533.41 and 6,312.43

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Solution

The fourth proportional to 20,352.68, 30,533.41 and 6,312.43 is: 9,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,352.68 : 30,533.41 = 6,312.43 : x
  2. Step 2: Convert to fraction form
    20,352.68/30,533.41 = 6,312.43/x
  3. Step 3: Cross multiply
    20,352.68x = 30,533.41 × 6,312.43
  4. Step 4: Simplify right side
    20,352.68x = 192,740,059.34
  5. Step 5: Solve for x
    x = 192,740,059.34/20,352.68
  6. Step 6: Final answer
    x = 9,470.01

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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.