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Finding the Fourth Proportional to 20,468.96, 30,706.32 and 9,378.44

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Solution

The fourth proportional to 20,468.96, 30,706.32 and 9,378.44 is: 14,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.96 : 30,706.32 = 9,378.44 : x
  2. Step 2: Convert to fraction form
    20,468.96/30,706.32 = 9,378.44/x
  3. Step 3: Cross multiply
    20,468.96x = 30,706.32 × 9,378.44
  4. Step 4: Simplify right side
    20,468.96x = 287,977,379.74
  5. Step 5: Solve for x
    x = 287,977,379.74/20,468.96
  6. Step 6: Final answer
    x = 14,068.98

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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.