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Finding the Fourth Proportional to 12,860.72, 19,294.73 and 4,096.32

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Solution

The fourth proportional to 12,860.72, 19,294.73 and 4,096.32 is: 6,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.72 : 19,294.73 = 4,096.32 : x
  2. Step 2: Convert to fraction form
    12,860.72/19,294.73 = 4,096.32/x
  3. Step 3: Cross multiply
    12,860.72x = 19,294.73 × 4,096.32
  4. Step 4: Simplify right side
    12,860.72x = 79,037,388.39
  5. Step 5: Solve for x
    x = 79,037,388.39/12,860.72
  6. Step 6: Final answer
    x = 6,145.64

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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.