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Finding the Fourth Proportional to 12,327.62, 17,017.74 and 7,857.50

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Solution

The fourth proportional to 12,327.62, 17,017.74 and 7,857.50 is: 10,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.62 : 17,017.74 = 7,857.50 : x
  2. Step 2: Convert to fraction form
    12,327.62/17,017.74 = 7,857.50/x
  3. Step 3: Cross multiply
    12,327.62x = 17,017.74 × 7,857.50
  4. Step 4: Simplify right side
    12,327.62x = 133,716,892.05
  5. Step 5: Solve for x
    x = 133,716,892.05/12,327.62
  6. Step 6: Final answer
    x = 10,846.93

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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.