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Finding the Fourth Proportional to 12,614.16, 18,919.08 and 3,378

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Solution

The fourth proportional to 12,614.16, 18,919.08 and 3,378 is: 5,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.16 : 18,919.08 = 3,378 : x
  2. Step 2: Convert to fraction form
    12,614.16/18,919.08 = 3,378/x
  3. Step 3: Cross multiply
    12,614.16x = 18,919.08 × 3,378
  4. Step 4: Simplify right side
    12,614.16x = 63,908,652.24
  5. Step 5: Solve for x
    x = 63,908,652.24/12,614.16
  6. Step 6: Final answer
    x = 5,066.42

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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.