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Finding the Fourth Proportional to 12,855.87, 17,742.74 and 7,190.93

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Solution

The fourth proportional to 12,855.87, 17,742.74 and 7,190.93 is: 9,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.87 : 17,742.74 = 7,190.93 : x
  2. Step 2: Convert to fraction form
    12,855.87/17,742.74 = 7,190.93/x
  3. Step 3: Cross multiply
    12,855.87x = 17,742.74 × 7,190.93
  4. Step 4: Simplify right side
    12,855.87x = 127,586,755.12
  5. Step 5: Solve for x
    x = 127,586,755.12/12,855.87
  6. Step 6: Final answer
    x = 9,924.40

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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.