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Finding the Fourth Proportional to 12,157.16, 18,237.68 and 5,137.24

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Solution

The fourth proportional to 12,157.16, 18,237.68 and 5,137.24 is: 7,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.16 : 18,237.68 = 5,137.24 : x
  2. Step 2: Convert to fraction form
    12,157.16/18,237.68 = 5,137.24/x
  3. Step 3: Cross multiply
    12,157.16x = 18,237.68 × 5,137.24
  4. Step 4: Simplify right side
    12,157.16x = 93,691,306.45
  5. Step 5: Solve for x
    x = 93,691,306.45/12,157.16
  6. Step 6: Final answer
    x = 7,706.68

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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.