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Finding the Fourth Proportional to 20,654.34, 30,985.16 and 7,331.42

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Solution

The fourth proportional to 20,654.34, 30,985.16 and 7,331.42 is: 10,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.34 : 30,985.16 = 7,331.42 : x
  2. Step 2: Convert to fraction form
    20,654.34/30,985.16 = 7,331.42/x
  3. Step 3: Cross multiply
    20,654.34x = 30,985.16 × 7,331.42
  4. Step 4: Simplify right side
    20,654.34x = 227,165,030.14
  5. Step 5: Solve for x
    x = 227,165,030.14/20,654.34
  6. Step 6: Final answer
    x = 10,998.42

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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.