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Finding the Fourth Proportional to 12,814.56, 19,225.08 and 3,580.56

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Solution

The fourth proportional to 12,814.56, 19,225.08 and 3,580.56 is: 5,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.56 : 19,225.08 = 3,580.56 : x
  2. Step 2: Convert to fraction form
    12,814.56/19,225.08 = 3,580.56/x
  3. Step 3: Cross multiply
    12,814.56x = 19,225.08 × 3,580.56
  4. Step 4: Simplify right side
    12,814.56x = 68,836,552.44
  5. Step 5: Solve for x
    x = 68,836,552.44/12,814.56
  6. Step 6: Final answer
    x = 5,371.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.