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Finding the Fourth Proportional to 20,507.70, 30,762.72 and 6,468.18

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Solution

The fourth proportional to 20,507.70, 30,762.72 and 6,468.18 is: 9,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.70 : 30,762.72 = 6,468.18 : x
  2. Step 2: Convert to fraction form
    20,507.70/30,762.72 = 6,468.18/x
  3. Step 3: Cross multiply
    20,507.70x = 30,762.72 × 6,468.18
  4. Step 4: Simplify right side
    20,507.70x = 198,978,810.25
  5. Step 5: Solve for x
    x = 198,978,810.25/20,507.70
  6. Step 6: Final answer
    x = 9,702.64

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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.