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Finding the Fourth Proportional to 20,574.17, 30,855.86 and 7,424.09

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Solution

The fourth proportional to 20,574.17, 30,855.86 and 7,424.09 is: 11,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.17 : 30,855.86 = 7,424.09 : x
  2. Step 2: Convert to fraction form
    20,574.17/30,855.86 = 7,424.09/x
  3. Step 3: Cross multiply
    20,574.17x = 30,855.86 × 7,424.09
  4. Step 4: Simplify right side
    20,574.17x = 229,076,644.55
  5. Step 5: Solve for x
    x = 229,076,644.55/20,574.17
  6. Step 6: Final answer
    x = 11,134.19

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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.