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Finding the Fourth Proportional to 11,924.88, 17,887.32 and 3,160.14

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Solution

The fourth proportional to 11,924.88, 17,887.32 and 3,160.14 is: 4,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.88 : 17,887.32 = 3,160.14 : x
  2. Step 2: Convert to fraction form
    11,924.88/17,887.32 = 3,160.14/x
  3. Step 3: Cross multiply
    11,924.88x = 17,887.32 × 3,160.14
  4. Step 4: Simplify right side
    11,924.88x = 56,526,435.42
  5. Step 5: Solve for x
    x = 56,526,435.42/11,924.88
  6. Step 6: Final answer
    x = 4,740.21

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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.