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Finding the Fourth Proportional to 20,347.68, 30,518.02 and 6,115.94

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Solution

The fourth proportional to 20,347.68, 30,518.02 and 6,115.94 is: 9,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.68 : 30,518.02 = 6,115.94 : x
  2. Step 2: Convert to fraction form
    20,347.68/30,518.02 = 6,115.94/x
  3. Step 3: Cross multiply
    20,347.68x = 30,518.02 × 6,115.94
  4. Step 4: Simplify right side
    20,347.68x = 186,646,379.24
  5. Step 5: Solve for x
    x = 186,646,379.24/20,347.68
  6. Step 6: Final answer
    x = 9,172.86

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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.