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Finding the Fourth Proportional to 12,814.68, 19,222.78 and 3,580.68

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Solution

The fourth proportional to 12,814.68, 19,222.78 and 3,580.68 is: 5,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.68 : 19,222.78 = 3,580.68 : x
  2. Step 2: Convert to fraction form
    12,814.68/19,222.78 = 3,580.68/x
  3. Step 3: Cross multiply
    12,814.68x = 19,222.78 × 3,580.68
  4. Step 4: Simplify right side
    12,814.68x = 68,830,623.89
  5. Step 5: Solve for x
    x = 68,830,623.89/12,814.68
  6. Step 6: Final answer
    x = 5,371.23

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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.