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Finding the Fourth Proportional to 12,740.67, 19,097.22 and 6,157.80

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Solution

The fourth proportional to 12,740.67, 19,097.22 and 6,157.80 is: 9,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.67 : 19,097.22 = 6,157.80 : x
  2. Step 2: Convert to fraction form
    12,740.67/19,097.22 = 6,157.80/x
  3. Step 3: Cross multiply
    12,740.67x = 19,097.22 × 6,157.80
  4. Step 4: Simplify right side
    12,740.67x = 117,596,861.32
  5. Step 5: Solve for x
    x = 117,596,861.32/12,740.67
  6. Step 6: Final answer
    x = 9,230.04

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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.