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Finding the Fourth Proportional to 12,951.69, 19,422.68 and 4,184.25

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Solution

The fourth proportional to 12,951.69, 19,422.68 and 4,184.25 is: 6,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.69 : 19,422.68 = 4,184.25 : x
  2. Step 2: Convert to fraction form
    12,951.69/19,422.68 = 4,184.25/x
  3. Step 3: Cross multiply
    12,951.69x = 19,422.68 × 4,184.25
  4. Step 4: Simplify right side
    12,951.69x = 81,269,327.87
  5. Step 5: Solve for x
    x = 81,269,327.87/12,951.69
  6. Step 6: Final answer
    x = 6,274.80

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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.