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Finding the Fourth Proportional to 20,537.94, 30,788.18 and 7,387.29

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Solution

The fourth proportional to 20,537.94, 30,788.18 and 7,387.29 is: 11,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.94 : 30,788.18 = 7,387.29 : x
  2. Step 2: Convert to fraction form
    20,537.94/30,788.18 = 7,387.29/x
  3. Step 3: Cross multiply
    20,537.94x = 30,788.18 × 7,387.29
  4. Step 4: Simplify right side
    20,537.94x = 227,441,214.23
  5. Step 5: Solve for x
    x = 227,441,214.23/20,537.94
  6. Step 6: Final answer
    x = 11,074.20

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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.