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Finding the Fourth Proportional to 12,912.84, 19,365.12 and 4,145.64

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Solution

The fourth proportional to 12,912.84, 19,365.12 and 4,145.64 is: 6,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.84 : 19,365.12 = 4,145.64 : x
  2. Step 2: Convert to fraction form
    12,912.84/19,365.12 = 4,145.64/x
  3. Step 3: Cross multiply
    12,912.84x = 19,365.12 × 4,145.64
  4. Step 4: Simplify right side
    12,912.84x = 80,280,816.08
  5. Step 5: Solve for x
    x = 80,280,816.08/12,912.84
  6. Step 6: Final answer
    x = 6,217.13

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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.