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Finding the Fourth Proportional to 12,814.31, 19,224.71 and 3,580.31

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Solution

The fourth proportional to 12,814.31, 19,224.71 and 3,580.31 is: 5,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.31 : 19,224.71 = 3,580.31 : x
  2. Step 2: Convert to fraction form
    12,814.31/19,224.71 = 3,580.31/x
  3. Step 3: Cross multiply
    12,814.31x = 19,224.71 × 3,580.31
  4. Step 4: Simplify right side
    12,814.31x = 68,830,465.05
  5. Step 5: Solve for x
    x = 68,830,465.05/12,814.31
  6. Step 6: Final answer
    x = 5,371.37

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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.