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Finding the Fourth Proportional to 12,380.96, 17,084.93 and 7,345.64

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Solution

The fourth proportional to 12,380.96, 17,084.93 and 7,345.64 is: 10,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.96 : 17,084.93 = 7,345.64 : x
  2. Step 2: Convert to fraction form
    12,380.96/17,084.93 = 7,345.64/x
  3. Step 3: Cross multiply
    12,380.96x = 17,084.93 × 7,345.64
  4. Step 4: Simplify right side
    12,380.96x = 125,499,745.21
  5. Step 5: Solve for x
    x = 125,499,745.21/12,380.96
  6. Step 6: Final answer
    x = 10,136.51

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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.