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Finding the Fourth Proportional to 20,387.85, 30,602.51 and 9,302.27

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Solution

The fourth proportional to 20,387.85, 30,602.51 and 9,302.27 is: 13,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,387.85 : 30,602.51 = 9,302.27 : x
  2. Step 2: Convert to fraction form
    20,387.85/30,602.51 = 9,302.27/x
  3. Step 3: Cross multiply
    20,387.85x = 30,602.51 × 9,302.27
  4. Step 4: Simplify right side
    20,387.85x = 284,672,732.13
  5. Step 5: Solve for x
    x = 284,672,732.13/20,387.85
  6. Step 6: Final answer
    x = 13,962.86

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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.