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Finding the Fourth Proportional to 20,440.38, 30,654.03 and 6,586.14

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Solution

The fourth proportional to 20,440.38, 30,654.03 and 6,586.14 is: 9,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440.38 : 30,654.03 = 6,586.14 : x
  2. Step 2: Convert to fraction form
    20,440.38/30,654.03 = 6,586.14/x
  3. Step 3: Cross multiply
    20,440.38x = 30,654.03 × 6,586.14
  4. Step 4: Simplify right side
    20,440.38x = 201,891,733.14
  5. Step 5: Solve for x
    x = 201,891,733.14/20,440.38
  6. Step 6: Final answer
    x = 9,877.10

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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.