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Finding the Fourth Proportional to 20,273.75, 30,402.88 and 9,740.77

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Solution

The fourth proportional to 20,273.75, 30,402.88 and 9,740.77 is: 14,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273.75 : 30,402.88 = 9,740.77 : x
  2. Step 2: Convert to fraction form
    20,273.75/30,402.88 = 9,740.77/x
  3. Step 3: Cross multiply
    20,273.75x = 30,402.88 × 9,740.77
  4. Step 4: Simplify right side
    20,273.75x = 296,147,461.42
  5. Step 5: Solve for x
    x = 296,147,461.42/20,273.75
  6. Step 6: Final answer
    x = 14,607.43

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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.