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Finding the Fourth Proportional to 20,282.80, 30,423.96 and 7,135.12

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Solution

The fourth proportional to 20,282.80, 30,423.96 and 7,135.12 is: 10,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.80 : 30,423.96 = 7,135.12 : x
  2. Step 2: Convert to fraction form
    20,282.80/30,423.96 = 7,135.12/x
  3. Step 3: Cross multiply
    20,282.80x = 30,423.96 × 7,135.12
  4. Step 4: Simplify right side
    20,282.80x = 217,078,605.48
  5. Step 5: Solve for x
    x = 217,078,605.48/20,282.80
  6. Step 6: Final answer
    x = 10,702.60

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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.