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Finding the Fourth Proportional to 20,240.42, 30,354.44 and 9,705

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Solution

The fourth proportional to 20,240.42, 30,354.44 and 9,705 is: 14,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240.42 : 30,354.44 = 9,705 : x
  2. Step 2: Convert to fraction form
    20,240.42/30,354.44 = 9,705/x
  3. Step 3: Cross multiply
    20,240.42x = 30,354.44 × 9,705
  4. Step 4: Simplify right side
    20,240.42x = 294,589,840.20
  5. Step 5: Solve for x
    x = 294,589,840.20/20,240.42
  6. Step 6: Final answer
    x = 14,554.53

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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.