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Finding the Fourth Proportional to 20,772.25, 31,158.38 and 8,460.25

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Solution

The fourth proportional to 20,772.25, 31,158.38 and 8,460.25 is: 12,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.25 : 31,158.38 = 8,460.25 : x
  2. Step 2: Convert to fraction form
    20,772.25/31,158.38 = 8,460.25/x
  3. Step 3: Cross multiply
    20,772.25x = 31,158.38 × 8,460.25
  4. Step 4: Simplify right side
    20,772.25x = 263,607,684.40
  5. Step 5: Solve for x
    x = 263,607,684.40/20,772.25
  6. Step 6: Final answer
    x = 12,690.38

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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.