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Finding the Fourth Proportional to 20,272.72, 30,412.28 and 8,586

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Solution

The fourth proportional to 20,272.72, 30,412.28 and 8,586 is: 12,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.72 : 30,412.28 = 8,586 : x
  2. Step 2: Convert to fraction form
    20,272.72/30,412.28 = 8,586/x
  3. Step 3: Cross multiply
    20,272.72x = 30,412.28 × 8,586
  4. Step 4: Simplify right side
    20,272.72x = 261,119,836.08
  5. Step 5: Solve for x
    x = 261,119,836.08/20,272.72
  6. Step 6: Final answer
    x = 12,880.36

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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.