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Finding the Fourth Proportional to 12,157.90, 16,776.96 and 7,121.44

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Solution

The fourth proportional to 12,157.90, 16,776.96 and 7,121.44 is: 9,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.90 : 16,776.96 = 7,121.44 : x
  2. Step 2: Convert to fraction form
    12,157.90/16,776.96 = 7,121.44/x
  3. Step 3: Cross multiply
    12,157.90x = 16,776.96 × 7,121.44
  4. Step 4: Simplify right side
    12,157.90x = 119,476,114.02
  5. Step 5: Solve for x
    x = 119,476,114.02/12,157.90
  6. Step 6: Final answer
    x = 9,827.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.