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Finding the Fourth Proportional to 12,142.08, 18,170.88 and 7,460

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Solution

The fourth proportional to 12,142.08, 18,170.88 and 7,460 is: 11,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.08 : 18,170.88 = 7,460 : x
  2. Step 2: Convert to fraction form
    12,142.08/18,170.88 = 7,460/x
  3. Step 3: Cross multiply
    12,142.08x = 18,170.88 × 7,460
  4. Step 4: Simplify right side
    12,142.08x = 135,554,764.80
  5. Step 5: Solve for x
    x = 135,554,764.80/12,142.08
  6. Step 6: Final answer
    x = 11,164.05

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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.